Publikationen
Prof. Dr. Catherine Meusburger
Publikationen
2023
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State sum models with defects based on spherical fusion categories
In: Advances in Mathematics 429 (2023), Art.Nr.: 109177
ISSN: 0001-8708
DOI: 10.1016/j.aim.2023.109177
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2022
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Lightlike and ideal tetrahedra
In: Geometriae Dedicata 216 (2022)
ISSN: 0046-5755
DOI: 10.1007/s10711-022-00687-6
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2021
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Poisson–Lie Groups and Gauge Theory
In: Symmetry 13 (2021)
ISSN: 2073-8994
DOI: 10.3390
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Mapping class group actions from Hopf monoids and ribbon graphs
In: Quantum Topology 12 (2021), S. 507-591
ISSN: 1664-073X
DOI: 10.4171/QT/158
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Hopf algebra gauge theory on a ribbon graph
In: Reviews in Mathematical Physics (2021), Art.Nr.: 2150016
ISSN: 0129-055X
DOI: 10.1142/S0129055X21500161
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2020
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3-dimensional defect TQFTs and their tricategories
In: Advances in Mathematics 364 (2020), Art.Nr.: 107024
ISSN: 0001-8708
DOI: 10.1016/j.aim.2020.107024
URL: https://arxiv.org/abs/1603.01171
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2017
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Kitaev Lattice Models as a Hopf Algebra Gauge Theory
In: Communications in Mathematical Physics 353:413 (2017), S. 413-468
ISSN: 0010-3616
DOI: 10.1007/s00220-017-2860-7
URL: https://arxiv.org/abs/1607.01144
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AdS Poisson homogeneous spaces and Drinfel'd doubles
In: Journal of Physics A: Mathematical and Theoretical 50 (2017)
ISSN: 1751-8113
DOI: 10.1088/1751-8121/aa858c
URL: https://arxiv.org/abs/1701.04902
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2016
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Generalized shear coordinates on the moduli spaces of three-dimensional spacetimes
In: Journal of Differential Geometry 103 (2016), S. 425-474
ISSN: 0022-040X
URL: http://projecteuclid.org/euclid.jdg/1468517501
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2014
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A (2 + 1) non-commutative Drinfel'd double spacetime with cosmological constant
In: Physics Letters B 732 (2014), S. 201-209
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2014.03.036
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Twisted (2+1) κ-AdS algebra, Drinfel'd doubles and non-commutative spacetimes
In: Symmetry Integrability and Geometry-Methods and Applications 10 (2014)
ISSN: 1815-0659
DOI: 10.3842/SIGMA.2014.052
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Recovering the Geometry of a Flat Spacetime from Background Radiation
In: Annales Henri Poincaré 15 (2014), S. 1733-1799
ISSN: 1424-0637
DOI: 10.1007/s00023-013-0300-6
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Gauge Fixing and Classical Dynamical r-Matrices in ISO(2, 1)-Chern-Simons Theory
In: Communications in Mathematical Physics 327 (2014), S. 443-479
ISSN: 1432-0916
DOI: 10.1007/s00220-014-1938-8
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2013
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Drinfel'd doubles for (2+1)-gravity
In: Classical and Quantum Gravity 30 (2013), Art.Nr.: 155012
ISSN: 0264-9381
DOI: 10.1088/0264-9381/30/15/155012
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Crochets de Poisson, théories de jauge et quantification
In: Yvette Kosmann-Schwarzbach (Hrsg.): Siméon-Denis Poisson: Les mathématiques au service de la science, Editions de l´Ecole Polytechnique, 2013
ISBN: 9782730215848
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Gauge fixing and quantum group symmetries in (2+1)-gravity
In: International Journal of Geometric Methods in Modern Physics 10 (2013), Art.Nr.: 1360004
ISSN: 0219-8878
DOI: 10.1142/S0219887813600049
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2012
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3d gravity and quantum deformations: A Drinfel'd double approach
In: Journal of Physics : Conference Series 360 (2012), Art.Nr.: 012010
ISSN: 1742-6588
DOI: 10.1088/1742-6596/360/1/012010
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Particles with spin in stationary flat spacetimes
In: Geometriae Dedicata 161 (2012), S. 23-50
ISSN: 0046-5755
DOI: 10.1007/s10711-011-9692-y
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Quantum deformation of two four-dimensional spin foam models
In: Journal of Mathematical Physics 53 (2012), Art.Nr.: 022501
ISSN: 0022-2488
DOI: 10.1063/1.3675898
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2011
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q-Deformation of Lorentzian spin foam models
3rd Quantum Gravity and Quantum Geometry School (Zakopane, 28-02-2011 - 13-03-2011)
In: Proceedings of the 3rd Quantum Gravity and Quantum Geometry School 2011
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Geometry and observables in (2+1)-gravity
In: General Relativity and Gravitation 43 (2011), S. 2409-2420
ISSN: 0001-7701
DOI: 10.1007/s10714-010-0981-9
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Global Lorentzian geometry of lightlike geodesics: what does an observer in (2+1) gravity see?
In: AMS/IP Studies in Advanced Mathematics 50 (2011), S. 261-276
ISSN: 1089-3288
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Gauge fixing in (2+1)-gravity: Dirac bracket and spacetime geometry
In: Classical and Quantum Gravity 28 (2011), Art.Nr.: 125008
ISSN: 0264-9381
DOI: 10.1088/0264-9381/28/12/125008
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Gauge fixing in (2+1)-gravity with vanishing cosmological constant
Workshop on Noncommutative Field Theory and Gravity (Corfu, 07-09-2011 - 11-09-2011)
In: Proceedings of the Corfu Summer Institute 2011 2011
URL: https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84883511228&origin=inward
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2010
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Three-dimensional gravity and Drinfel'd doubles: Spacetimes and symmetries from quantum deformations
In: Physics Letters B 687 (2010), S. 375-381
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2010.03.043
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Combinatorial quantisation of the Euclidean torus universe
In: Nuclear Physics B 841 (2010), S. 463-505
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2010.08.014
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The Hilbert space of 3d gravity: Quantum group symmetries and observables
In: Advances in Theoretical and Mathematical Physics 14 (2010), S. 1651-1716
ISSN: 1095-0761
URL: https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84858185698&origin=inward
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2009
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Cosmological measurements, time and observables in (2+1)-dimensional gravity
In: Classical and Quantum Gravity 26 (2009), Art.Nr.: 055006
ISSN: 0264-9381
DOI: 10.1088/0264-9381/26/5/055006
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Quantum double and κ-Poincaré symmetries in (2+1)-gravity and Chern-Simons theory
In: Canadian Journal of Physics 87 (2009), S. 245-250
ISSN: 0008-4204
DOI: 10.1139/P08-076
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Spacetime geometry in (2+l)-gravity via measurements with returning lightrays
25th Max Born Symposium on the Planck Scale (Wroclaw)
In: Jerzy Kowalski‐Glikman, R. Durka, M. Szczachor (Hrsg.): Proceedings, 25th Max Born Symposium: The Planck Scale 2009
DOI: 10.1063/1.3284381
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Generalised Chern-Simons actions for 3d gravity and κ-Poincaré symmetry
In: Nuclear Physics B 806 (2009), S. 462-488
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2008.06.023
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2008
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Quaternionic and Poisson-Lie structures in three-dimensional gravity: The cosmological constant as deformation parameter
In: Journal of Mathematical Physics 49 (2008), Art.Nr.: 083510
ISSN: 0022-2488
DOI: 10.1063/1.2973040
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2007
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Geometrical (2+1)-gravity and the Chern-Simons formulation: Grafting, Dehn twists, Wilson loop observables and the cosmological constant
In: Communications in Mathematical Physics 273 (2007), S. 705-754
ISSN: 0010-3616
DOI: 10.1007/s00220-007-0255-x
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2006
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Dual generators of the fundamental group and the moduli space of flat connections
In: Journal of Physics A: Mathematical and General 39 (2006), S. 14781-14831
ISSN: 0305-4470
DOI: 10.1088/0305-4470/39/47/017
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Grafting and poisson structure in (2+1)-gravity with vanishing cosmological constant
In: Communications in Mathematical Physics 266 (2006), S. 735-775
ISSN: 0010-3616
DOI: 10.1007/s00220-006-0037-x
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Phase space structure of Chern-Simons theory with a non-standard puncture
In: Nuclear Physics B 738 (2006), S. 425-456
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2006.01.014
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2005
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Boundary conditions and symplectic structure in the Chern-Simons formulation of (2+1)-dimensional gravity
In: Classical and Quantum Gravity 22 (2005), S. 3689-3724
ISSN: 0264-9381
DOI: 10.1088/0264-9381/22/17/021
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Mapping class group actions in Chern-Simons theory with gauge group G ⋉ g*
In: Nuclear Physics B 706 (2005), S. 569-597
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2004.10.057
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2004
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The quantisation of poisson structures arising in chern-simons theory with gauge group G x g*
In: Advances in Theoretical and Mathematical Physics 7 (2004), S. 1003-1042
ISSN: 1095-0761
URL: https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=11944255902&origin=inward
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2003
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Algebraic quantization of the closed bosonic string
In: Communications in Mathematical Physics 237 (2003), S. 69-85
ISSN: 0010-3616
DOI: 10.1007/s00220-003-0816-6
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Poisson structure and symmetry in the Chern-Simons formulation of (2 + 1)-dimensional gravity
In: Classical and Quantum Gravity 20 (2003), S. 2193-2233
ISSN: 0264-9381
DOI: 10.1088/0264-9381/20/11/318
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