Unoriented 2-dimensional TQFTs and the category $\mathrm{Rep}(S_{t}\wr\mathbb{Z}_{2})$

We construct a family of unoriented 2-dimensional cobordism theories parametrized by certain triples of sequences. We also prove that some specializations of these sequences yield equivalences with an exterior product of Deligne categories. In particular, one of these specializations recovers the generalized Deligne category \mathrm{Rep}(S_{t}\wr \mathbb{Z}_{2}) .

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Publication Details

Journal
Quantum Topology
Published
2024-08-05
DOI
https://doi.org/10.4171/qt/221
Citations
1
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
1.01
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article

Unoriented 2-dimensional TQFTs and the category $\mathrm{Rep}(S_{t}\wr\mathbb{Z}_{2})$

Agustina Czenky
1 citations
Quantum Topology
Algebraic structures and combinatorial models
1.01
article

Unoriented 2-dimensional TQFTs and the category $\mathrm{Rep}(S_{t}\wr\mathbb{Z}_{2})$

Agustina Czenky
article en
1 citations

Abstract

We construct a family of unoriented 2-dimensional cobordism theories parametrized by certain triples of sequences. We also prove that some specializations of these sequences yield equivalences with an exterior product of Deligne categories. In particular, one of these specializations recovers the generalized Deligne category \mathrm{Rep}(S_{t}\wr \mathbb{Z}_{2}) .

Quantum Topology
University of Oregon (US)
Openalex Percentile: Top 26%
Algebraic structures and combinatorial models
1.01
DOIOpen Access PDFOpenAlex
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Unoriented 2-dimensional TQFTs and the category $\mathrm{Rep}(S_{t}\wr\mathbb{Z}_{2})$ — Agustina Czenky · Quantum Topology (2024) | TGRS Research Map | TGRS