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    • Prof. Dr. Catherine Meusburger
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Publikationen

Prof. Dr. Catherine Meusburger

Publikationen

2022

  • Meusburger C., Scarinci C.:
    Lightlike and ideal tetrahedra
    In: Geometriae Dedicata 216 (2022)
    ISSN: 0046-5755
    DOI: 10.1007/s10711-022-00687-6
    BibTeX: Download

2021

  • Meusburger C.:
    Poisson–Lie Groups and Gauge Theory
    In: Symmetry 13 (2021)
    ISSN: 2073-8994
    DOI: 10.3390
    BibTeX: Download
  • Meusburger C., Voß T.:
    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
    BibTeX: Download
  • Meusburger C., Wise D.:
    Hopf algebra gauge theory on a ribbon graph
    In: Reviews in Mathematical Physics (2021), Art.Nr.: 2150016
    ISSN: 0129-055X
    DOI: 10.1142/S0129055X21500161
    BibTeX: Download

2020

  • Carqueville N., Meusburger C., Schaumann G.:
    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
    BibTeX: Download

2017

  • Meusburger C.:
    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
    BibTeX: Download
  • Meusburger C., Ballesteros A., Naranjo P.:
    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
    BibTeX: Download

2016

  • Meusburger C., Uehara Scarinci CY.:
    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
    BibTeX: Download

2014

  • Ballestreros A., Herranz FJ., Meusburger C.:
    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
    BibTeX: Download
  • Ballestreros A., Herranz FJ., Meusburger C., Naranjo P.:
    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
    BibTeX: Download
  • Bonsante F., Meusburger C., Schlenker JM.:
    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
    BibTeX: Download
  • Meusburger C., Schönfeld T.:
    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
    BibTeX: Download

2013

  • Ballesteros A., Herranz FJ., Meusburger C.:
    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
    BibTeX: Download
  • Meusburger C., Fairbairn W.:
    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

    BibTeX: Download
  • Meusburger C., Schönfeld T.:
    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
    BibTeX: Download

2012

  • Ballesteros A., Herranz FJ., Meusburger C.:
    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
    BibTeX: Download
  • Barbot T., Meusburger C.:
    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
    BibTeX: Download
  • Fairbairn W., Meusburger C.:
    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
    BibTeX: Download

2011

  • Fairbairn W., Meusburger C.:
    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
    BibTeX: Download
  • Meusburger C.:
    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
    BibTeX: Download
  • Meusburger C.:
    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
    BibTeX: Download
  • Meusburger C., Schönfeld T.:
    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
    BibTeX: Download
  • Meusburger C., Schönfeld T.:
    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
    BibTeX: Download

2010

  • Ballestreros A., Herranz FJ., Meusburger C.:
    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
    BibTeX: Download
  • Meusburger C., Noui K.:
    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
    BibTeX: Download
  • Meusburger C., Noui K.:
    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
    BibTeX: Download

2009

  • Meusburger C.:
    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
    BibTeX: Download
  • Meusburger C.:
    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
    BibTeX: Download
  • Meusburger C.:
    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
    BibTeX: Download
  • Meusburger C., Schroers B.:
    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
    BibTeX: Download

2008

  • Meusburger C., Schroers B.:
    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
    BibTeX: Download

2007

  • Meusburger C.:
    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
    BibTeX: Download

2006

  • Meusburger C.:
    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
    BibTeX: Download
  • Meusburger C.:
    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
    BibTeX: Download
  • Meusburger C., Schroers B.:
    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
    BibTeX: Download

2005

  • Meusburger C., Schroers B.:
    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
    BibTeX: Download
  • Meusburger C., Schroers B.:
    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
    BibTeX: Download

2004

  • Meusburger C., Schroers B.:
    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
    BibTeX: Download

2003

  • Meusburger C., Rehren KH.:
    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
    BibTeX: Download
  • Meusburger C., Schroers B.:
    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
    BibTeX: Download
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