External links to my publications:
Below is a complete list of my writings.
Preprints
- Lie 2-groups from loop group extensions
together with Matthias Ludewig, March 2023
arxiv:2303.13176 - A representation of the string 2-group
together with Peter Kristel, Matthias Ludewig, June 2022
arxiv:2206.09797 - The insidious bicategory of algebra bundles
together with Peter Kristel, Matthias Ludewig, April 2022
arxiv:2204.03900 - Categorical symmetries of T-duality
February 2022
arxiv:2202.09187 - 2-vector bundles
together with Peter Kristel, Matthias Ludewig, June 2021
arxiv:2106.12198 - Connes fusion of spinors on loop space
together with Peter Kristel, December 2020
arxiv:2012.08142 - Observation of multi-skyrmion objects created by size and density control in Ta/CoFeB/MgO films
together with Christian Denker, Hauke Lars Heyen, Yannik Junk, Enno Lage, Jeffrey McCord, Markus Münzenberg, Sören Nielsen, Malte Römer-Stumm, Jakob Walowski, November 2020
arxiv:2011.07336
Preprints accepted for publication
- Geometric T-duality: Buscher rules in general topology
Ann. Henri Poincaré, to appear
arxiv:2207.11799 - Pontrjagin duality on multiplicative Gerbes
together with Jaider Blanco, Bernardo Uribe
J. Noncommut. Geom., to appear
arxiv:2012.05056 - Smooth Fock bundles, and spinor bundles on loop space
together with Peter Kristel
J. Diff. Geom., to appear
arxiv:2009.00333
Journal articles
- Smooth Functorial Field Theories from B-Fields and D-Branes , together with Severin Bunk
J. Homotopy Relat. Struct. 16.1 (2021): 75-153 arxiv:1911.09990 - Fusion of implementers for spinors on the circle , together with Peter Kristel
Adv. Math. Vol. 402 (2022), 108325 arxiv:1905.00222 - Transgression of D-branes , together with Severin Bunk
Adv. Theor. Math. Phys., Vol. 25, No. 5 (2021), pp. 1095-1198. arxiv:1808.04894 - Higher geometry for non-geometric T-duals , together with Thomas Nikolaus
Commun. Math. Phys. 374, 317–366(2020) arxiv:1804.00677 - 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 , 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 Krzysztof Gawedzki, Rafal R. Suszek
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 Krzysztof Gawedzki, Rafal R. Suszek
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 Krzysztof Gawedzki, Rafal R. Suszek
Commun. Math. Phys. 284(1), 1–49 (2007) arxiv:hep-th/0701071 - Unoriented WZW Models and Holonomy of Bundle Gerbes , together with Urs Schreiber, Christoph Schweigert
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 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
Book contributions
- Non-abelian gerbes and some applications in string theory , together with 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 , 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