Cyclic Objects from Surfaces
Geometric Topology
2025-09-09 v3 Quantum Algebra
Abstract
In this paper, we endow the family of all closed genus surfaces with a structure of a (co)cyclic object in the category of 3-dimensional cobordisms. As a corollary, any -dimensional TQFT induces a (co)cyclic module, which we compute algebraically for the Reshetikhin-Turaev TQFT.
Cite
@article{arxiv.2306.07216,
title = {Cyclic Objects from Surfaces},
author = {Ivan Bartulović},
journal= {arXiv preprint arXiv:2306.07216},
year = {2025}
}