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
mit Peter Kristel, Matthias Ludewig, August 2023
arxiv:2308.05139 - Lie 2-groups from loop group extensions
mit Matthias Ludewig, März 2023
arxiv:2303.13176 - The stringor bundle
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
Zur Publikation angenommene Arbeiten
- Geometric T-duality: Buscher rules in general topology
erscheint in Ann. Henri Poincaré
arxiv:2207.11799 - Pontrjagin duality on multiplicative Gerbes
mit Jaider Blanco, Bernardo Uribe
erscheint in J. Noncommut. Geom.
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
erscheint in Journal of Physics D
arxiv:2011.07336 - Smooth Fock bundles, and spinor bundles on loop space
mit Peter Kristel
erscheint in J. Diff. Geom.
arxiv:2009.00333
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 - Fusion of implementers for spinors on the circle , mit Peter Kristel
Adv. Math. Vol. 402 (2022), 108325 arxiv:1905.00222 - 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