Papers

External links to my papers

Preprints

Journal articles

  • 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
    together with 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
    together with Rafal R. Suszek, Krzysztof Gawedzki
    Rev. Math. Phys 25 (2013) 1350010
    arxiv:1202.5808  
  • Lifting Problems and Transgression for Non-Abelian Gerbes
    together with 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
    together with 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
    together with 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
    together with 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
    together with 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
    together with 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
    together with Urs Schreiber
    Homology, Homotopy Appl., 13(1), 143-203 (2011)
    arxiv:0802.0663  
  • Parallel Transport and Functors
    together with Urs Schreiber
    J. Homotopy Relat. Struct. 4, 187-244 (2009)
    arxiv:0705.0452  
  • Bi-branes: Target Space Geometry for World Sheet topological Defects
    together with Jürgen Fuchs, Christoph Schweigert
    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
    together with 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
    together with Christoph Schweigert, Urs Schreiber
    Commun. Math. Phys. 274(1), 31–64 (2007)
    arxiv:hep-th/0512283  

Proceedings

  • 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
    together with 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  

Book contributions

  • Gerbes and Lie Groups
    together with 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 file  

Theses

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