Externe Verweise auf meine Publikationen finden Sie unter folgenden Links:
Nachfolgend finden Sie eine vollständige Liste meiner Arbeiten.
Preprints
- A representation of the string 2-group (Neu)
mit Peter Kristel, Matthias Ludewig, Juni 2022
arxiv:2206.09797 - The insidious bicategory of algebra bundles
mit Peter Kristel, Matthias Ludewig, April 2022
arxiv:2204.03900 - Categorical symmetries of T-duality
Februar 2022
arxiv:2202.09187 - 2-vector bundles
mit Peter Kristel, Matthias Ludewig, Juni 2021
arxiv:2106.12198 - Connes fusion of spinors on loop space
mit Peter Kristel, Dezember 2020
arxiv:2012.08142 - Pontrjagin duality on multiplicative Gerbes
mit Jaider Blanco, Bernardo Uribe, Dezember 2020
arxiv:2012.05056 - Observation of multi-skyrmion objects created by size and density control in Ta/CoFeB/MgO films
mit 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 - Smooth Fock bundles, and spinor bundles on loop space
mit Peter Kristel, September 2020
arxiv:2009.00333
Zur Publikation angenommene Arbeiten
- Fusion of implementers for spinors on the circle
mit Peter Kristel
erscheint in Adv. Math.
arxiv:1905.00222
Artikel in Fachzeitschriften
- 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 - Transgression of D-branes
mit Severin Bunk
Adv. Theor. Math. Phys., Vol. 25, No. 5 (2021), pp. 1095-1198.
arxiv:1808.04894 - Higher geometry for non-geometric T-duals
mit 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
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 Krzysztof Gawedzki, Rafal R. Suszek
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 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
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 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
mit 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
mit Urs Schreiber, Christoph Schweigert
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 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
- 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