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Morita cohomology

Published online by Cambridge University Press:  05 December 2014

Christ's College, Cambridge, CB2 3BU, United Kingdom. e-mail:


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.

Research Article
Copyright © Cambridge Philosophical Society 2014 

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