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arXiv · 1805.01264

The colimit of an $\infty$-local system as a twisted tensor product

Manuel Rivera·Mahmoud Zeinalian
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Abstract

We describe several equivalent models for the infinity-category of infinity-local systems of chain complexes over a space using the framework of quasi-categories. We prove that the given models are equivalent as infinity-categories by exploiting the relationship between the differential graded nerve functor and the cobar construction. We use one of these models to calculate the quasi-categorical colimit of an infinity-local system in terms of a twisted tensor product.

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Manuel Rivera, Mahmoud Zeinalian. 2018-05-03. The colimit of an $\infty$-local system as a twisted tensor product. https://arxiv.org/abs/1805.01264

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