Frobenius and commutative pseudomonoids in the bicategory of spans
buir.contributor.author | Stern, Walker H. | |
buir.contributor.orcid | 0000-0002-3800-3528 | |
dc.citation.epage | 105309-31 | |
dc.citation.spage | 105309-1 | |
dc.citation.volumeNumber | 207 | |
dc.contributor.author | Contreras, I. | |
dc.contributor.author | Mehta, R. A. | |
dc.contributor.author | Stern, Walker H. | |
dc.date.accessioned | 2025-02-15T14:43:12Z | |
dc.date.available | 2025-02-15T14:43:12Z | |
dc.date.issued | 2024-09-04 | |
dc.department | Department of Mathematics | |
dc.description.abstract | In previous work by the first two authors, Frobenius and commutative algebra objects in the category of spans of sets were characterized in terms of simplicial sets satisfying certain properties. In this paper, we find a similar characterization for the analogous coherent structures in the bicategory of spans of sets. We show that commutative and Frobenius pseudomonoids in Span correspond, respectively, to paracyclic sets and - sets satisfying the 2-Segal conditions. These results connect closely with work of the third author on A∞ algebras in ∞-categories of spans, as well as the growing body of work on higher Segal objects. Because our motivation comes from symplectic geometry and topological field theory, we emphasize the direct and computational nature of the classifications and their proofs. | |
dc.description.provenance | Submitted by Mervenur Sarıgül (mervenur.sarigul@bilkent.edu.tr) on 2025-02-15T14:43:12Z No. of bitstreams: 1 Frobenius_and_commutative_pseudomonoids_in_the_bicategory_of_spans.pdf: 751085 bytes, checksum: f026ae14d1f4609516c3873153550d3a (MD5) | en |
dc.description.provenance | Made available in DSpace on 2025-02-15T14:43:12Z (GMT). No. of bitstreams: 1 Frobenius_and_commutative_pseudomonoids_in_the_bicategory_of_spans.pdf: 751085 bytes, checksum: f026ae14d1f4609516c3873153550d3a (MD5) Previous issue date: 2024-09-04 | en |
dc.embargo.release | 2026-09-04 | |
dc.identifier.doi | 10.1016/j.geomphys.2024.105309 | |
dc.identifier.eissn | 1879-1662 | |
dc.identifier.issn | 0393-0440 | |
dc.identifier.uri | https://hdl.handle.net/11693/116275 | |
dc.language.iso | English | |
dc.publisher | Elsevier BV * North-Holland | |
dc.relation.isversionof | https://dx.doi.org/10.1016/j.geomphys.2024.105309 | |
dc.rights | CC BY 4.0 (Attribution 4.0 International Deed) | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source.title | Journal of Geometry and Physics | |
dc.subject | Spans | |
dc.subject | Topological quantum field theory | |
dc.subject | 2-categories | |
dc.subject | 2-Segal objects | |
dc.subject | Frobenius algebras | |
dc.subject | Commutative algebras | |
dc.title | Frobenius and commutative pseudomonoids in the bicategory of spans | |
dc.type | Article |
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