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Keywords:
Quasi-categories; Local systems; Colimit; Twisted tensor product
Quasi-categories; Local systems; Colimit; Twisted tensor product
Summary:
We describe several equivalent models for the $\infty$-category of $\infty$-local systems of chain complexes over a space using the framework of quasi-categories. We prove that the given models are equivalent as $\infty$-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 $\infty$-local system in terms of a twisted tensor product.
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