Morita cohomology
Algebraic Topology
2019-07-16 v1 Category Theory
Abstract
We consider two categorifications of the cohomology of a topological space X by taking coefficients in the category of differential graded categories. We consider both derived global sections of a constant presheaf and singular cohomology and find the resulting dg-categories are quasi-equivalent and moreover quasi-equivalent to representations in perfect complexes of chains on the loop space of X.
Cite
@article{arxiv.1404.1327,
title = {Morita cohomology},
author = {Julian V. S. Holstein},
journal= {arXiv preprint arXiv:1404.1327},
year = {2019}
}
Comments
33 pages