Hochschild cohomology of ring objects in monoidal categories
Category Theory
2022-01-25 v1 Algebraic Topology
K-Theory and Homology
Abstract
We define the Hochschild complex and cohomology of a ring object in a monoidal category enriched over abelian groups. We interpret the cohomology groups and prove that the cohomology ring is graded-commutative.
Keywords
Cite
@article{arxiv.1605.00842,
title = {Hochschild cohomology of ring objects in monoidal categories},
author = {Magnus Hellstrøm-Finnsen},
journal= {arXiv preprint arXiv:1605.00842},
year = {2022}
}
Comments
36 pages