nLab Luuk Stehouwer

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Selected writings

On the K-theory classification of topological phases of matter for the case of topological crystalline insulators classified by equivariant K-theory:

• Luuk Stehouwer, Jan de Boer, Jorrit Kruthoff, Hessel Posthuma, Classification of crystalline topological insulators through K-theory, Adv. Theor. Math. Phys, 25 3 (2021) 723–775 [arXiv:1811.02592, doi:10.4310/ATMP.2021.v25.n3.a3]

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

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

• Luuk Stehouwer, The categorical spin-statistics theorem [arXiv:2403.02282]

• 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 dagger categories:

• Luuk Stehouwer, Jan Steinebrunner, Dagger categories via anti-involutions and positivity [arXiv:2304.02928]

On symmetry protected topological phases via invertible field theory:

• Omar Antolín Camarena, Arun Debray, Cameron Krulewski, Natalia Pacheco-Tallaj, Daniel Sheinbaum, Luuk Stehouwer: Weak topological phases in the presence of interactions [arXiv:2410.10031]

On the 10-fold way of K-theory classification of topological phases of matter:

• Luuk Stehouwer: Free phases of Majorana fermions: Tenfold ways compared [arXiv:2507.08694]

category: people