Item

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.