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arXiv · 1801.05065

Comonad Cohomology of Track Categories

David Blanc·Simona Paoli
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Abstract

We define a comonad cohomology of track categories and we show it is linked by a long exact sequence to its Dwyer-Kan-Smith cohomology . Under mild hypothesis on the track category, we show that its comonad cohomology coincides, up to dimension shift, with its Dwyer-Kan-Smith cohomology, therefore obtaining an algebraic formulation of the latter. We also specialize our results to the case where the track category is a $2$-groupoid.

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David Blanc, Simona Paoli. 2018-01-15. Comonad Cohomology of Track Categories. https://arxiv.org/abs/1801.05065

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