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arXiv · 1404.1327

Morita cohomology

Julian V. S. Holstein
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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.

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Julian V. S. Holstein. 2014-03-18. Morita cohomology. https://doi.org/10.1017/s0305004114000516

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