Publikationen

Externe Verweise auf meine Publikationen finden Sie unter folgenden Links:

Nachfolgend finden Sie eine vollständige Liste meiner Publikationen, geordnet nach Typ/Zeit.

Preprints

Artikel in Fachzeitschriften

  • Parallel transport in principal 2-bundles
    Higher Structures 2(1):57-115, 2018
    arxiv:1704.08542  
  • A global perspective to connections on principal 2-bundles
    Forum Math. 30 (2017), no. 4, 809-843
    arxiv:1608.00401  
  • Transgressive loop group extensions
    Math. Z. 286(1) 325-360, 2017
    arxiv:1502.05089  
  • String geometry vs. spin geometry on loop spaces
    J. Geom. Phys. 97 (2015), 190-226
    arxiv:1403.5656  
  • Local Theory for 2-Functors on Path 2-Groupoids
    mit Urs Schreiber
    J. Homotopy Relat. Struct. (2016) 1-42
    arxiv:1303.4663  
  • Spin structures on loop spaces that characterize string manifolds
    Algebr. Geom. Topol. 16 (2016) 675–709
    arxiv:1209.1731  
  • The gauging of two-dimensional bosonic sigma models on world-sheets with defects
    mit Rafal R. Suszek, Krzysztof Gawedzki
    Rev. Math. Phys 25 (2013) 1350010
    arxiv:1202.5808  
  • Lifting Problems and Transgression for Non-Abelian Gerbes
    mit Thomas Nikolaus
    Adv. Math. 242 (2013) 50-79
    arxiv:1112.4702  
  • Transgression to Loop Spaces and its Inverse, III: Gerbes and Thin Fusion Bundles
    Adv. Math. 231 (2012), 3445-3472
    arxiv:1109.0480  
  • Four Equivalent Versions of Non-Abelian Gerbes
    mit Thomas Nikolaus
    Pacific J. Math., 264-2 (2013), 355-420
    arxiv:1103.4815  
  • Transgression to Loop Spaces and its Inverse, II: Gerbes and Fusion Bundles with Connection
    Asian J. Math., Vol. 20, No. 1 (2016), pp. 59-116
    arxiv:1004.0031  
  • Global Gauge Anomalies in two-dimensional Bosonic Sigma Models
    mit Rafal R. Suszek, Krzysztof Gawedzki
    Commun. Math. Phys. 302 (2), 513-580 (2011)
    arxiv:1003.4154  
  • Transgression to Loop Spaces and its Inverse, I: Diffeological Bundles and Fusion Maps
    Cah. Topol. Géom. Différ. Catég., 2012, Vol. LIII, 162-210
    arxiv:0911.3212  
  • Polyakov-Wiegmann Formula and Multiplicative Gerbes
    mit Krzysztof Gawedzki
    J. High Energy Phys. 09 (2009) 073
    arxiv:0908.1130  
  • String Connections and Chern-Simons Theory
    Trans. Amer. Math. Soc. 365 (2013), 4393-4432
    arxiv:0906.0117  
  • Bundle Gerbes for Orientifold Sigma Models
    mit Krzysztof Gawedzki, Rafal R. Suszek
    Adv. Theor. Math. Phys. 15 (3), 621-688 (2011)
    arxiv:0809.5125  
  • Connections on non-abelian Gerbes and their Holonomy
    mit Urs Schreiber
    Theory Appl. Categ., Vol. 28, 2013, No. 17, pp 476-540
    arxiv:0808.1923  
  • Multiplicative Bundle Gerbes with Connection
    Differential Geom. Appl. 28(3), 313-340 (2010)
    arxiv:0804.4835  
  • Smooth Functors vs. Differential Forms
    mit Urs Schreiber
    Homology, Homotopy Appl., 13(1), 143-203 (2011)
    arxiv:0802.0663  
  • Parallel Transport and Functors
    mit Urs Schreiber
    J. Homotopy Relat. Struct. 4, 187-244 (2009)
    arxiv:0705.0452  
  • Bi-branes: Target Space Geometry for World Sheet topological Defects
    mit Christoph Schweigert, Jürgen Fuchs
    J. Geom. Phys. 58(5), 576-598 (2008)
    arxiv:hep-th/0703145  
  • More Morphisms between Bundle Gerbes
    Theory Appl. Categ. 18(9), 240-273 (2007)
    arxiv:math/0702652  
  • WZW Orientifolds and finite Group Cohomology
    mit Rafal R. Suszek, Krzysztof Gawedzki
    Commun. Math. Phys. 284(1), 1–49 (2007)
    arxiv:hep-th/0701071  
  • Unoriented WZW Models and Holonomy of Bundle Gerbes
    mit Christoph Schweigert, Urs Schreiber
    Commun. Math. Phys. 274(1), 31–64 (2007)
    arxiv:hep-th/0512283  

Konferenzberichte

  • A Construction of String 2-Group Models using a Transgression-Regression Technique
    Analysis, Geometry and Quantum Field Theory, edited by C. L. Aldana, M. Braverman, B. Iochum, and C. Neira-Jiménez, volume 584 of Contemp. Math., pages 99-115, AMS, 2012
    arxiv:1201.5052  
  • A Loop Space Formulation for Geometric Lifting Problems
    J. Aust. Math. Soc. 90, 129-144 (2011)
    arxiv:1007.5373  
  • Bundle Gerbes and Surface Holonomy
    mit Christoph Schweigert, Thomas Nikolaus, Jürgen Fuchs
    Proceedings of the 5th European Congress of Mathematics, edited by A. Ran, H. te Riele and J. Wiegerinck, EMS Publishing House, 2008, 167-197
    arxiv:0901.2085  

Buchbeiträge

  • Non-abelian gerbes and some applications in string theory
    mit Christoph Schweigert
    Particles, Strings and the Early Universe : The Structure of Matter and Space-Time, edited by J. Haller and M. Grefe, Verlag Deutsches Elektronen-Synchrotron, 2018
    arxiv:1807.05398  
  • Gerbes and Lie Groups
    mit Christoph Schweigert
    Developments and Trends in Infinite-Dimensional Lie Theory, edited by K.-H. Neeb and A. Pianzola, volume 600 of Progr. Math., Birkhäuser, 2010
    arxiv:0710.5467  
  • Surface Holonomy
    Handbook of pseudo-Riemannian Geometry and Supersymmetry, edited by V. Cortés, IRMA Lectures in Mathematics and Theoretical Physics, EMS Publishing House, 2008
    pdf-Dokument  

Prüfschriften

  • Algebraic Structures for Bundle Gerbes and the Wess-Zumino Term in Conformal Field Theory
    Dissertation, Universität Hamburg, Dezember 2007
    pdf-Dokument  
  • The 2-Category of Bundle Gerbes
    Diplomarbeit, Universität Hamburg, September 2006
    pdf-Dokument  
  • Holonomie von Gerben im Wess-Zumino-Witten-Modell
    Diplomarbeit, RWTH Aachen, November 2004
    pdf-Dokument