Topological field theories associated with Calabi-Yau categories
Algebraic Topology
2024-10-24 v1 Algebraic Geometry
Category Theory
Abstract
We construct symmetric monoidal higher categories of iterated Calabi-Yau cospans, that are noncommutative analogs of iterated lagrangian correspondences. We actually give a general (and functorial) procedure that applies to iterated nondegenerate cospans on certain comma categories. This allows us to factor the AKSZ fully extended TFT associated with the moduli of objects of a Calabi-Yau category (taking values in iterated lagrangian correspondences) through a fully extended TFT taking values in iterated Calabi-Yau cospans.
Keywords
Cite
@article{arxiv.2410.17726,
title = {Topological field theories associated with Calabi-Yau categories},
author = {Tristan Bozec and Damien Calaque and Sarah Scherotzke},
journal= {arXiv preprint arXiv:2410.17726},
year = {2024}
}
Comments
35 pages. Preliminary version. Comments welcome