The colimit of an ∞-local system as a twisted tensor product

Manuel Rivera, Mahmoud Zeinalian

Abstract


We describe several equivalent models for the ∞-category of ∞-local systems of chain complexes over a space using the framework of quasi-categories. We prove that the given models are equivalent as ∞-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 ∞-local system in terms of a twisted tensor product.


PDF


Copyright © 2020 Department of Mathematics Macquarie University