| Title:
|
The colimit of an $\infty$-local system as a twisted tensor product (English) |
| Author:
|
Rivera, Manuel |
| Author:
|
Zeinalian, Mahmoud |
| Language:
|
English |
| Journal:
|
Higher Structures |
| ISSN:
|
2209-0606 |
| Volume:
|
4 |
| Issue:
|
1 |
| Year:
|
2020 |
| Pages:
|
33-56 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
Quasi-categories |
| Keyword:
|
Local systems |
| Keyword:
|
Colimit |
| Keyword:
|
Twisted tensor product |
| MSC:
|
00A99 |
| MSC:
|
18A05 |
| MSC:
|
18D20 |
| MSC:
|
18D50 |
| MSC:
|
55P48 |
| idZBL:
|
Zbl 1432.18013 |
| idMR:
|
MR4074273 |
| DOI:
|
10.21136/HS.2020.02 |
| . |
| Date available:
|
2026-03-11T14:33:13Z |
| Last updated:
|
2026-03-11 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153417 |
| . |
| Reference:
|
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| . |
