The colimit of an $\infty$-local system as a twisted tensor product
Algebraic Topology
2019-04-29 v3 Category Theory
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.
Keywords
Cite
@article{arxiv.1805.01264,
title = {The colimit of an $\infty$-local system as a twisted tensor product},
author = {Manuel Rivera and Mahmoud Zeinalian},
journal= {arXiv preprint arXiv:1805.01264},
year = {2019}
}
Comments
Typos were corrected and presentation was improved. To appear in Higher Structures