Frobenius objects in the category of relations

DOI10.1007/s11005-020-01281-1zbMath1441.18006arXiv1907.00702OpenAlexW3103505044MaRDI QIDQ2191227

Ruoqi Zhang, Rajan Amit Mehta

Publication date: 24 June 2020

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.00702

zbMATH Keywords

cohomologygroupoidsimplicial setFrobenius algebratopological quantum field theorycategory of relations

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Categories of spans/cospans, relations, or partial maps (18B10) Simplicial sets, simplicial objects (18N50) Structured objects in a category (group objects, etc.) (18C40)

Related Items (2)

Convolution algebras for relational groupoids and reduction ⋮ Frobenius objects in the category of spans

Cites Work

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• Functoriality for Lagrangian correspondences in Floer theory
• Relative Frobenius algebras are groupoids
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• On Frobeniusean algebras. 2
• The graphical calculus for ribbon categories: Algebras, modules, Nakayama automorphisms
• TWO-DIMENSIONAL TOPOLOGICAL QUANTUM FIELD THEORIES AND FROBENIUS ALGEBRAS

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