Publikationen

Externe Verweise auf meine Publikationen finden Sie unter folgenden Links:

Nachfolgend finden Sie eine vollständige Liste meiner Arbeiten.

Preprints

  1. Internal geometry and functors between sites
    August 2024
    arxiv:2408.04989  

  2. A representation of the string 2-group
    mit Peter Kristel, Matthias Ludewig, August 2023
    arxiv:2308.05139  

  3. The stringor bundle
    mit Peter Kristel, Matthias Ludewig, Juni 2022
    arxiv:2206.09797  

  4. The insidious bicategory of algebra bundles
    mit Peter Kristel, Matthias Ludewig, April 2022
    arxiv:2204.03900  

  5. Categorical symmetries of T-duality
    Februar 2022
    arxiv:2202.09187  

  6. 2-vector bundles
    mit Peter Kristel, Matthias Ludewig, Juni 2021
    arxiv:2106.12198  

Zur Publikation angenommene Arbeiten

  1. String structures and loop spaces
    erscheint in Encyclopedia of Mathematical Physics (2nd edition)
    arxiv:2312.12998  

  2. Lie 2-groups from loop group extensions
    mit Matthias Ludewig
    erscheint in Journal of Homotopy and Related Structures
    arxiv:2303.13176  

Artikel in Fachzeitschriften

  1. Geometric T-duality: Buscher rules in general topology 
    Ann. Henri Poincaré, 25, 1285–1358, (2024)   arxiv:2207.11799  

  2. Connes fusion of spinors on loop space , mit Peter Kristel
    Compos. Math. 160 (2024) 1596–1650  arxiv:2012.08142  

  3. Pontrjagin duality on multiplicative Gerbes , mit Jaider Blanco, Bernardo Uribe
    J. Noncommut. Geom. 17 (2023), 1469-1520  arxiv:2012.05056  

  4. Size and density control of skyrmions with picometer CoFeB thickness variations—observation of zero-field skyrmions and skyrmion merging , mit Christian Denker, Hauke Lars Heyen, Yannik Junk, Enno Lage, Jeffrey McCord, Markus Münzenberg, Sören Nielsen, Malte Römer-Stumm, Jakob Walowski
    J. Phys. D: Appl. Phys. 56 (2023) 495302 (11pp)   arxiv:2011.07336  

  5. Smooth Fock bundles, and spinor bundles on loop space , mit Peter Kristel
    J. Diff. Geom. 128 (2024) 193-255  arxiv:2009.00333  

  6. Smooth Functorial Field Theories from B-Fields and D-Branes , mit Severin Bunk
    J. Homotopy Relat. Struct. 16.1 (2021): 75-153  arxiv:1911.09990  

  7. Fusion of implementers for spinors on the circle , mit Peter Kristel
    Adv. Math. Vol. 402 (2022), 108325  arxiv:1905.00222  

  8. Transgression of D-branes , mit Severin Bunk
    Adv. Theor. Math. Phys., Vol. 25, No. 5 (2021), pp. 1095-1198.  arxiv:1808.04894  

  9. Higher geometry for non-geometric T-duals , mit Thomas Nikolaus
    Commun. Math. Phys. 374, 317–366(2020)  arxiv:1804.00677  

  10. Parallel transport in principal 2-bundles 
    Higher Structures 2(1):57-115, 2018  arxiv:1704.08542  

  11. A global perspective to connections on principal 2-bundles 
    Forum Math. 30 (2017), no. 4, 809-843  arxiv:1608.00401  

  12. Transgressive loop group extensions 
    Math. Z. 286(1) 325-360, 2017  arxiv:1502.05089  

  13. String geometry vs. spin geometry on loop spaces 
    J. Geom. Phys. 97 (2015), 190-226  arxiv:1403.5656  

  14. Local Theory for 2-Functors on Path 2-Groupoids , mit Urs Schreiber
    J. Homotopy Relat. Struct. (2016) 1-42  arxiv:1303.4663  

  15. Spin structures on loop spaces that characterize string manifolds 
    Algebr. Geom. Topol. 16 (2016) 675–709  arxiv:1209.1731  

  16. The gauging of two-dimensional bosonic sigma models on world-sheets with defects , mit Krzysztof Gawedzki, Rafal R. Suszek
    Rev. Math. Phys 25 (2013) 1350010  arxiv:1202.5808  

  17. Lifting Problems and Transgression for Non-Abelian Gerbes , mit Thomas Nikolaus
    Adv. Math. 242 (2013) 50-79  arxiv:1112.4702  

  18. Transgression to Loop Spaces and its Inverse, III: Gerbes and Thin Fusion Bundles 
    Adv. Math. 231 (2012), 3445-3472  arxiv:1109.0480  

  19. Four Equivalent Versions of Non-Abelian Gerbes , mit Thomas Nikolaus
    Pacific J. Math., 264-2 (2013), 355-420  arxiv:1103.4815  

  20. 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  

  21. Global Gauge Anomalies in two-dimensional Bosonic Sigma Models , mit Krzysztof Gawedzki, Rafal R. Suszek
    Commun. Math. Phys. 302 (2), 513-580 (2011)  arxiv:1003.4154  

  22. 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  

  23. Polyakov-Wiegmann Formula and Multiplicative Gerbes , mit Krzysztof Gawedzki
    J. High Energy Phys. 09 (2009) 073  arxiv:0908.1130  

  24. String Connections and Chern-Simons Theory 
    Trans. Amer. Math. Soc. 365 (2013), 4393-4432  arxiv:0906.0117  

  25. Bundle Gerbes for Orientifold Sigma Models , mit Krzysztof Gawedzki, Rafal R. Suszek
    Adv. Theor. Math. Phys. 15 (3), 621-688 (2011)  arxiv:0809.5125  

  26. 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  

  27. Multiplicative Bundle Gerbes with Connection 
    Differential Geom. Appl. 28(3), 313-340 (2010)  arxiv:0804.4835  

  28. Smooth Functors vs. Differential Forms , mit Urs Schreiber
    Homology, Homotopy Appl., 13(1), 143-203 (2011)  arxiv:0802.0663  

  29. Parallel Transport and Functors , mit Urs Schreiber
    J. Homotopy Relat. Struct. 4, 187-244 (2009)  arxiv:0705.0452  

  30. Bi-branes: Target Space Geometry for World Sheet topological Defects , mit Jürgen Fuchs, Christoph Schweigert
    J. Geom. Phys. 58(5), 576-598 (2008)  arxiv:hep-th/0703145  

  31. More Morphisms between Bundle Gerbes 
    Theory Appl. Categ. 18(9), 240-273 (2007)  arxiv:math/0702652  

  32. WZW Orientifolds and finite Group Cohomology , mit Krzysztof Gawedzki, Rafal R. Suszek
    Commun. Math. Phys. 284(1), 1–49 (2007)  arxiv:hep-th/0701071  

  33. Unoriented WZW Models and Holonomy of Bundle Gerbes , mit Urs Schreiber, Christoph Schweigert
    Commun. Math. Phys. 274(1), 31–64 (2007)  arxiv:hep-th/0512283  

Konferenzberichte

  1. 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  

  2. A Loop Space Formulation for Geometric Lifting Problems 
    J. Aust. Math. Soc. 90, 129-144 (2011)  arxiv:1007.5373  

  3. Bundle Gerbes and Surface Holonomy , mit Jürgen Fuchs, Thomas Nikolaus, Christoph Schweigert
    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

  1. 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  

  2. 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  

  3. 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