Relative Calabi-Yau structures
Algebraic Geometry
2019-02-20 v1 Algebraic Topology
Representation Theory
Abstract
We introduce relative noncommutative Calabi-Yau structures defined on functors of differential graded categories. Examples arise in various contexts such as topology, algebraic geometry, and representation theory. Our main result is a composition law for Calabi-Yau cospans generalizing the classical composition of cobordisms of oriented manifolds. As an application, we construct Calabi-Yau structures on topological Fukaya categories of framed punctured Riemann surfaces.
Cite
@article{arxiv.1606.00619,
title = {Relative Calabi-Yau structures},
author = {Christopher Brav and Tobias Dyckerhoff},
journal= {arXiv preprint arXiv:1606.00619},
year = {2019}
}
Comments
36 pages, preliminary version, comments welcome