Publikationen
- Adamović D., Creutzig T., Genra N.:
Relaxed and logarithmic modules of sl3^
In: Mathematische Annalen 389 (2024), S. 281-324
ISSN: 0025-5831
DOI: 10.1007/s00208-023-02634-6
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- Adamović D., Creutzig T., Perše O., Vukorepa I.:
Tensor category KLk(sl2n) via minimal affine W-algebras at the non-admissible level k=−[Formula presented]
In: Journal of Pure and Applied Algebra 228 (2024), Art.Nr.: 107565
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2023.107565
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- Borot G., Bouchard V., Chidambaram NK., Creutzig T.:
Whittaker vectors for W-algebras from topological recursion
In: Selecta Mathematica-New Series 30 (2024), Art.Nr.: 33
ISSN: 1022-1824
DOI: 10.1007/s00029-024-00921-x
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- Borot G., Bouchard V., Chidambaram NK., Creutzig T., Noshchenko D.:
Higher Airy Structures, W Algebras and Topological Recursion
In: Memoirs of the American Mathematical Society 296 (2024), S. 1-108
ISSN: 0065-9266
DOI: 10.1090/memo/1476
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- Bouchard V., Creutzig T., Joshi A.:
Airy Ideals, Transvections, and W(sp2N) -Algebras
In: Annales Henri Poincaré 25 (2024), S. 2669-2730
ISSN: 1424-0637
DOI: 10.1007/s00023-023-01374-2
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- Creutzig T.:
Tensor categories of weight modules of sl̂2 at admissible level
In: Journal of the London Mathematical Society-Second Series 110 (2024), Art.Nr.: e70037
ISSN: 0024-6107
DOI: 10.1112/jlms.70037
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- Creutzig T., Genra N., Linshaw A.:
Ordinary modules for vertex algebras of osp1|2n
In: Journal für die reine und angewandte Mathematik 2024 (2024), S. 1-31
ISSN: 1435-5345
DOI: 10.1515/crelle-2024-0060
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- Creutzig T., Kanade S., McRae R.:
Tensor Categories for Vertex Operator Superalgebra Extensions
In: Memoirs of the American Mathematical Society 295 (2024), S. 1-181
ISSN: 0065-9266
DOI: 10.1090/memo/1472
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- Creutzig T., Linshaw AR., Song B.:
CLASSICAL FREENESS OF ORTHOSYMPLECTIC AFFINE VERTEX SUPERALGEBRAS
In: Proceedings of the American Mathematical Society 152 (2024), S. 4087-4094
ISSN: 0002-9939
DOI: 10.1090/proc/16548
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- Creutzig T., Nakatsuka S., Sugimoto S.:
Quasi-lisse extension of affine sl2 à la Feigin–Tipunin
In: Advances in Mathematics 448 (2024), Art.Nr.: 109717
ISSN: 0001-8708
DOI: 10.1016/j.aim.2024.109717
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- Creutzig T., Diaconescu DE., Ma M.:
Affine Laumon Spaces and Iterated W -Algebras
In: Communications in Mathematical Physics 402 (2023), S. 2133-2168
ISSN: 0010-3616
DOI: 10.1007/s00220-023-04754-1
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- Creutzig T., McRae R., Yang J.:
Ribbon tensor structure on the full representation categories of the singlet vertex algebras
In: Advances in Mathematics 413 (2023), Art.Nr.: 108828
ISSN: 0001-8708
DOI: 10.1016/j.aim.2022.108828
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- Creutzig T., McRae R., Yang J.:
Rigid Tensor Structure on Big Module Categories for Some W-(super)algebras in Type A
In: Communications in Mathematical Physics 404 (2023), S. 339-400
ISSN: 0010-3616
DOI: 10.1007/s00220-023-04843-1
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- Creutzig T., Nakatsuka S.:
COSETS FROM EQUIVARIANT W-ALGEBRAS
In: Representation Theory 27 (2023), S. 766-777
ISSN: 1088-4165
DOI: 10.1090/ert/651
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- Creutzig T., Ridout D., Rupert M.:
A Kazhdan–Lusztig Correspondence for L-32(sl3)
In: Communications in Mathematical Physics 400 (2023), S. 639-682
ISSN: 0010-3616
DOI: 10.1007/s00220-022-04602-8
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- Arakawa T., Creutzig T., Feigin B.:
Urod algebras and Translation of W-algebras
In: Forum of Mathematics. Sigma 10 (2022), Art.Nr.: e33
ISSN: 2050-5094
DOI: 10.1017/fms.2022.15
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- Creutzig T., Feigin B., Linshaw AR.:
N = 4 Superconformal Algebras and Diagonal Cosets
In: International Mathematics Research Notices 2022 (2022), S. 2180-2223
ISSN: 1073-7928
DOI: 10.1093/imrn/rnaa078
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- Creutzig T., Genra N., Nakatsuka S., Sato R.:
Correspondences of Categories for Subregular W -Algebras and Principal W -Superalgebras
In: Communications in Mathematical Physics 393 (2022), S. 1-60
ISSN: 0010-3616
DOI: 10.1007/s00220-021-04297-3
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- Creutzig T., Hikida Y.:
FZZ-triality and large N=4 super Liouville theory
In: Nuclear Physics B 977 (2022), Art.Nr.: 115734
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2022.115734
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- Creutzig T., Kanade S., McRae R.:
Gluing vertex algebras
In: Advances in Mathematics 396 (2022), Art.Nr.: 108174
ISSN: 0001-8708
DOI: 10.1016/j.aim.2021.108174
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- Creutzig T., Kovalchuk V., Linshaw AR.:
Generalized parafermions of orthogonal type
In: Journal of Algebra 593 (2022), S. 178-192
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2021.11.014
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- Creutzig T., Linshaw AR.:
Trialities of orthosymplectic W-algebras
In: Advances in Mathematics 409 (2022), Art.Nr.: 108678
ISSN: 0001-8708
DOI: 10.1016/j.aim.2022.108678
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- Creutzig T., Linshaw AR.:
Trialities of W-algebras
In: Cambridge Journal of Mathematics 10 (2022), S. 69-194
ISSN: 2168-0930
DOI: 10.4310/CJM.2022.v10.n1.a2
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- Creutzig T., McRae R., Yang J.:
Direct limit completions of vertex tensor categories
In: Communications in Contemporary Mathematics 24 (2022), Art.Nr.: 2150033
ISSN: 0219-1997
DOI: 10.1142/S0219199721500334
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- Creutzig T., Mcrae R., Yang J.:
Tensor Structure on the Kazhdan-Lusztig Category for Affine gl(1|1)
In: International Mathematics Research Notices 2022 (2022), S. 12462-12515
ISSN: 1073-7928
DOI: 10.1093/imrn/rnab080
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- Creutzig T., Rupert M.:
Uprolling unrolled quantum groups
In: Communications in Contemporary Mathematics 24 (2022), Art.Nr.: 2150023
ISSN: 0219-1997
DOI: 10.1142/S0219199721500231
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- Adamović D., Creutzig T., Genra N., Yang J.:
The Vertex Algebras R(p) and V(p)
In: Communications in Mathematical Physics 383 (2021), S. 1207-1241
ISSN: 0010-3616
DOI: 10.1007/s00220-021-03950-1
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- Chuang WY., Creutzig T., Diaconescu DE., Soibelman Y.:
Hilbert schemes of nonreduced divisors in Calabi–Yau threefolds and W-algebras
In: European Journal of Mathematics 7 (2021), S. 807-868
ISSN: 2199-675X
DOI: 10.1007/s40879-021-00464-x
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- Creutzig T., Genra N., Nakatsuka S.:
Duality of subregular W-algebras and principal W-superalgebras
In: Advances in Mathematics 383 (2021), Art.Nr.: 107685
ISSN: 0001-8708
DOI: 10.1016/j.aim.2021.107685
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- Creutzig T., Hikida Y.:
Correlator correspondences for Gaiotto-Rapčák dualities and first order formulation of coset models
In: Journal of High Energy Physics 2021 (2021), Art.Nr.: 144
ISSN: 1029-8479
DOI: 10.1007/JHEP12(2021)144
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- Creutzig T., Hikida Y.:
Higher rank FZZ-dualities
In: Journal of High Energy Physics 2021 (2021), Art.Nr.: 140
ISSN: 1029-8479
DOI: 10.1007/JHEP02(2021)140
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- Creutzig T., Jiang C., Orosz Hunziker F., Ridout D., Yang J.:
Tensor categories arising from the Virasoro algebra
In: Advances in Mathematics 380 (2021), Art.Nr.: 107601
ISSN: 0001-8708
DOI: 10.1016/j.aim.2021.107601
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- Creutzig T., Linshaw AR., Riedler W.:
INVARIANT SUBALGEBRAS OF THE SMALL N = 4 SUPERCONFORMAL ALGEBRA
In: Transformation Groups (2021)
ISSN: 1083-4362
DOI: 10.1007/s00031-021-09652-1
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- Creutzig T., McRae R., Yang J.:
On Ribbon Categories for Singlet Vertex Algebras
In: Communications in Mathematical Physics 387 (2021), S. 865-925
ISSN: 0010-3616
DOI: 10.1007/s00220-021-04097-9
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- Creutzig T., Yang J.:
Tensor categories of affine Lie algebras beyond admissible levels
In: Mathematische Annalen 380 (2021), S. 1991-2040
ISSN: 0025-5831
DOI: 10.1007/s00208-021-02159-w
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- Auger J., Creutzig T., Kanade S., Rupert M.:
Braided Tensor Categories Related to Bp Vertex Algebras
In: Communications in Mathematical Physics 378 (2020), S. 219-260
ISSN: 0010-3616
DOI: 10.1007/s00220-020-03747-8
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- Creutzig T., Gainutdinov AM., Runkel I.:
A quasi-Hopf algebra for the triplet vertex operator algebra
In: Communications in Contemporary Mathematics 22 (2020), Art.Nr.: 1950024
ISSN: 0219-1997
DOI: 10.1142/S021919971950024X
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- Creutzig T., Gaiotto D.:
Vertex Algebras for S-duality
In: Communications in Mathematical Physics 379 (2020), S. 785-845
ISSN: 0010-3616
DOI: 10.1007/s00220-020-03870-6
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- Creutzig T., Gaiotto D., Linshaw AR.:
S-duality for the Large N = 4 Superconformal Algebra
In: Communications in Mathematical Physics 374 (2020), S. 1787-1808
ISSN: 0010-3616
DOI: 10.1007/s00220-019-03673-4
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- Creutzig T., Genra N., Hikida Y., Liu T.:
Correspondences among CFTs with different W-algebra symmetry
In: Nuclear Physics B 957 (2020), Art.Nr.: 115104
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2020.115104
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- Creutzig T., Kanade S., Linshaw AR.:
Simple current extensions beyond semi-simplicity
In: Communications in Contemporary Mathematics 22 (2020), Art.Nr.: 1950001
ISSN: 0219-1997
DOI: 10.1142/S0219199719500019
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- Arakawa T., Creutzig T., Linshaw AR.:
W-algebras as coset vertex algebras
In: Inventiones Mathematicae 218 (2019), S. 145-195
ISSN: 0020-9910
DOI: 10.1007/s00222-019-00884-3
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- Bouchard V., Creutzig T., Joshi A.:
Hecke operators on vector-valued modular forms
In: Symmetry Integrability and Geometry-Methods and Applications 15 (2019), Art.Nr.: 041
ISSN: 1815-0659
DOI: 10.3842/SIGMA.2019.041
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- Costello K., Creutzig T., Gaiotto D.:
Higgs and Coulomb branches from vertex operator algebras
In: Journal of High Energy Physics 2019 (2019), Art.Nr.: 66
ISSN: 1029-8479
DOI: 10.1007/JHEP03(2019)066
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- Creutzig T.:
Fusion categories for affine vertex algebras at admissible levels
In: Selecta Mathematica-New Series 25 (2019), Art.Nr.: 27
ISSN: 1022-1824
DOI: 10.1007/s00029-019-0479-6
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- Creutzig T., Hikida Y.:
Rectangular W algebras and superalgebras and their representations
In: Physical Review D 100 (2019), Art.Nr.: 086008
ISSN: 2470-0010
DOI: 10.1103/PhysRevD.100.086008
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- Creutzig T., Hikida Y.:
Rectangular W-algebras, extended higher spin gravity and dual coset CFTs
In: Journal of High Energy Physics 2019 (2019), Art.Nr.: 147
ISSN: 1029-8479
DOI: 10.1007/JHEP02(2019)147
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- Creutzig T., Hikida Y., Uetoko T.:
Rectangular W-algebras of types so(M) and sp(2M) and dual coset CFTs
In: Journal of High Energy Physics 2019 (2019), Art.Nr.: 23
ISSN: 1029-8479
DOI: 10.1007/JHEP10(2019)023
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- Creutzig T., Kanade S., Linshaw AR., Ridout D.:
SCHUR–WEYL DUALITY FOR HEISENBERG COSETS
In: Transformation Groups 24 (2019), S. 301-354
ISSN: 1083-4362
DOI: 10.1007/s00031-018-9497-2
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- Creutzig T., Kanade S., Liu T., Ridout D.:
Cosets, characters and fusion for admissible-level osp(1|2) minimal models
In: Nuclear Physics B 938 (2019), S. 22-55
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2018.10.022
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- Creutzig T., Linshaw AR.:
Cosets of affine vertex algebras inside larger structures
In: Journal of Algebra 517 (2019), S. 396-438
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2018.10.007
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- Creutzig T., Liu T., Ridout D., Wood S.:
Unitary and non-unitary N = 2 minimal models
In: Journal of High Energy Physics 2019 (2019), Art.Nr.: 24
ISSN: 1029-8479
DOI: 10.1007/JHEP06(2019)024
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- Auger J., Creutzig T., Ridout D.:
Modularity of logarithmic parafermion vertex algebras
In: Letters in Mathematical Physics 108 (2018), S. 2543-2587
ISSN: 0377-9017
DOI: 10.1007/s11005-018-1098-4
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- Creutzig T.:
Logarithmic W-algebras and Argyres-Douglas theories at higher rank
In: Journal of High Energy Physics 2018 (2018), Art.Nr.: 188
ISSN: 1029-8479
DOI: 10.1007/JHEP11(2018)188
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- Creutzig T., Duncan JF., Riedler W.:
Self-dual vertex operator superalgebras and superconformal field theory
In: Journal of Physics A: Mathematical and Theoretical 51 (2018), Art.Nr.: 034001
ISSN: 1751-8113
DOI: 10.1088/1751-8121/aa9af5
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- Creutzig T., Frohlich J., Kanade S.:
Representation theory of lk (Osp(1|2)) from vertex tensor categories and jacobi forms
In: Proceedings of the American Mathematical Society 146 (2018), S. 4571-4589
ISSN: 0002-9939
DOI: 10.1090/proc/14066
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- Creutzig T., Huang YZ., Yang J.:
Braided Tensor Categories of Admissible Modules for Affine Lie Algebras
In: Communications in Mathematical Physics 362 (2018), S. 827-854
ISSN: 0010-3616
DOI: 10.1007/s00220-018-3217-6
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- Creutzig T., Linshaw AR.:
Cosets of the Wk(Sl4, fsubreg)-algebra
In: Contemporary Mathematics 2018
DOI: 10.1090/conm/711/14301
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- Creutzig T., Milas A., Rupert M.:
Logarithmic link invariants of U‾qH(sl2) and asymptotic dimensions of singlet vertex algebras
In: Journal of Pure and Applied Algebra 222 (2018), S. 3224-3247
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2017.12.004
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- Arakawa T., Creutzig T., Kawasetsu K., Linshaw AR.:
Orbifolds and Cosets of Minimal W -Algebras
In: Communications in Mathematical Physics 355 (2017), S. 339-372
ISSN: 0010-3616
DOI: 10.1007/s00220-017-2901-2
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- Arakawa T., Creutzig T., Linshaw AR.:
Cosets of Bershadsky–Polyakov algebras and rational W -algebras of type A
In: Selecta Mathematica-New Series 23 (2017), S. 2369-2395
ISSN: 1022-1824
DOI: 10.1007/s00029-017-0340-8
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- Bouchard V., Creutzig T., Diaconescu DE., Doran C., Quigley C., Sheshmani A.:
Vertical D4–D2–D0 Bound States on K3 Fibrations and Modularity
In: Communications in Mathematical Physics 350 (2017), S. 1069-1121
ISSN: 0010-3616
DOI: 10.1007/s00220-016-2772-y
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- Creutzig T.:
W-algebras for Argyres–Douglas theories
In: European Journal of Mathematics 3 (2017), S. 659-690
ISSN: 2199-675X
DOI: 10.1007/s40879-017-0156-2
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- Creutzig T., Gannon T.:
Logarithmic conformal field theory, log-modular tensor categories and modular forms
In: Journal of Physics A: Mathematical and Theoretical 50 (2017), Art.Nr.: 404004
ISSN: 1751-8113
DOI: 10.1088/1751-8121/aa8538
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- Creutzig T., Linshaw AR.:
Orbifolds of symplectic fermion algebras
In: Transactions of the American Mathematical Society 369 (2017), S. 467-494
ISSN: 0002-9947
DOI: 10.1090/tran6664
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- Creutzig T., Milas A.:
Higher rank partial and false theta functions and representation theory
In: Advances in Mathematics 314 (2017), S. 203-227
ISSN: 0001-8708
DOI: 10.1016/j.aim.2017.04.027
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- Creutzig T., Milas A., Wood S.:
On regularised quantum dimensions of the singlet vertex operator algebra and false theta functions
In: International Mathematics Research Notices 2017 (2017), S. 1390-1432
ISSN: 1073-7928
DOI: 10.1093/imrn/rnw037
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- Afshar H., Creutzig T., Grumiller D., Hikida Y., Rønne PB.:
Unitary W-algebras and three-dimensional higher spin gravities with spin one symmetry
In: Journal of High Energy Physics 2014 (2014), Art.Nr.: 63
ISSN: 1029-8479
DOI: 10.1007/JHEP06(2014)063
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- Bringmann K., Creutzig T., Rolen L.:
Negative index Jacobi forms and quantum modular forms
In: Research in the Mathematical Sciences 1 (2014), Art.Nr.: 11
ISSN: 2522-0144
DOI: 10.1186/s40687-014-0011-8
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- Creutzig T., Hikida Y., Rønne PB.:
Higher spin AdS3 holography with extended supersymmetry
In: Journal of High Energy Physics 2014 (2014), Art.Nr.: 163
ISSN: 1029-8479
DOI: 10.1007/JHEP10(2014)163
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- Creutzig T., Höhn G.:
Mathieu moonshine and the geometry of k3 surfaces
In: Communications in Number Theory and Physics 8 (2014), S. 295-328
ISSN: 1931-4523
DOI: 10.4310/CNTP.2014.v8.n2.a3
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- Creutzig T., Höhn G., Miezaki T.:
The McKay-Thompson series of Mathieu Moonshine modulo two
In: Ramanujan Journal 34 (2014), S. 319-328
ISSN: 1382-4090
DOI: 10.1007/s11139-013-9553-4
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- Creutzig T., Milas A.:
False theta functions and the Verlinde formula
In: Advances in Mathematics 262 (2014), S. 520-545
ISSN: 0001-8708
DOI: 10.1016/j.aim.2014.05.018
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