nLab David Penneys

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Selected writings

On monoidal enriched categories:

• Scott Morrison, David Penneys, Monoidal Categories Enriched in Braided Monoidal Categories, International Mathematics Research Notices 2019 11 June 2019 3527–3579 [doi:10.1093/imrn/rnx217, arXiv:1701.00567]

On topological phases of matter (with emphasis on monoidal category-machinery such as unitary fusion categories)

• David Penneys, Topological Phases of Matter (2021)

On G-crossed braided fusion categories via 3-categories:

• Corey Jones, David Penneys, David Reutter, A 3-categorical perspective on $G$-crossed braided categories, J. London Math. Soc. 107 1 (2023) 333-406 [arXiv:2009.00405, doi:10.1112/jlms.12687]

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 identifying $W^\ast$-categories with 2-Hilbert spaces:

• André Henriques, Nivedita, David Penneys: Complete $W^\ast$-categories [arXiv2411.01678]

category: people