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  • 1404.1327v1

    Rights statement: https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/morita-cohomology/B502DE5454CD1379BCA7F8D1FFE085B8 The final, definitive version of this article has been published in the Journal, Mathematical Proceedings of the Cambridge Philosophical Society, 158 (1), pp 1-26 2015, © 2015 Cambridge University Press.

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    Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License

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Morita cohomology

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Published
<mark>Journal publication date</mark>1/01/2015
<mark>Journal</mark>Mathematical Proceedings of the Cambridge Philosophical Society
Issue number1
Volume158
Number of pages26
Pages (from-to)1-26
Publication StatusPublished
Early online date5/12/14
<mark>Original language</mark>English

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.

Bibliographic note

https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/morita-cohomology/B502DE5454CD1379BCA7F8D1FFE085B8 The final, definitive version of this article has been published in the Journal, Mathematical Proceedings of the Cambridge Philosophical Society, 158 (1), pp 1-26 2015, © 2015 Cambridge University Press.