nLab Lukas Müller

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Selected writings

On higher parallel transport of circle n-bundles with connection as an extended homotopy field theory:

• Lukas Müller, Lukas Woike, Parallel Transport of Higher Flat Gerbes as an Extended Homotopy Quantum Field Theory, J. Homotopy Relat. Struct. 15 (2020) 113–142 [arXiv:1802.10455, doi:10.1007/s40062-019-00242-3]

On QFT quantum anomalies as invertibled extended TQFTs:

• Lukas Müller, Extended Functorial Field Theories and Anomalies in Quantum Field Theories [arXiv:2003.08217]

On factorization homology for surfaces equipped with flat connections for a finite group:

• Corina Keller, Lukas Müller, Finite symmetries of quantum character stacks, Theory and Applications of Categories 39 3 (2023) 51-97 [arXiv:2107.12348, tac:39-03]

Exposition:

• Lukas Müller, Deformation quantization and categorical factorization homology, talk at CQTS (Mar 2023) [web, video:YT]

On the spin-statistics theorem via hermitian functorial field theory:

• Lukas Müller, Luuk Stehouwer, Reflection Structures and Spin Statistics in Low Dimensions [arXiv:2301.06664]

• Cameron Krulewski, Lukas Müller, Luuk Stehouwer: A Higher Spin Statistics Theorem for Invertible Quantum Field Theories, Commun. Math. Phys. 406 (2025) 230 [arXiv:2408.03981, doi:10.1007/s00220-025-05405-3]

Introducing a notion of dagger $n$-categories:

• Giovanni Ferrer, Brett Hungar, Theo Johnson-Freyd, Cameron Krulewski, Lukas Müller, Nivedita, David Penneys, David Reutter, Claudia Scheimbauer, Luuk Stehouwer, Chetan Vuppulury, Dagger n-categories [arXiv2403.01651]

On connections on smooth principal infinity-bundles via splittings of higher Atiyah Lie algebroids:

• Severin Bunk, Lukas Müller, Joost Nuiten, Richard J. Szabo: Symmetries and Higher-Form Connections in Derived Differential Geometry [arXiv:2602.03441]

category: people