2-Segal objects and algebras in spans
Algebraic Topology
2019-05-17 v1 Category Theory
Abstract
We define a category parameterizing Calabi-Yau algebra objects in an infinity category of spans. Using this category, we prove that there are equivalences of infinity categories relating, firstly: 2-Segal simplicial objects in C to algebra objects in Span(C); and secondly: 2-Segal cyclic objects in C to Calabi-Yau algebra objects in Span(C).
Cite
@article{arxiv.1905.06671,
title = {2-Segal objects and algebras in spans},
author = {Walker H. Stern},
journal= {arXiv preprint arXiv:1905.06671},
year = {2019}
}
Comments
56 pages