| Title:
|
A closer look at Kadeishvili's theorem (English) |
| Author:
|
Petersen, Dan |
| Language:
|
English |
| Journal:
|
Higher Structures |
| ISSN:
|
2209-0606 |
| Volume:
|
4 |
| Issue:
|
2 |
| Year:
|
2020 |
| Pages:
|
211-221 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give a proof of the Homotopy Transfer Theorem following Kadeishvili’s original strategy. Although Kadeishvili originally restricted himself to transferring a dg algebra structure to an $A_\infty$-structure on homology, we will see that a small modification of his argument proves the general case of transferring any kind of $\infty$-algebra structure along a quasi-isomorphism, under weaker hypotheses than existing proofs of this result. (English) |
| Keyword:
|
transfer theorem |
| Keyword:
|
Koszul duality |
| Keyword:
|
homological perturbation theory |
| Keyword:
|
operads |
| MSC:
|
16E45 |
| MSC:
|
16S80 |
| MSC:
|
18D50 |
| idZBL:
|
Zbl 1457.18020 |
| idMR:
|
MR4133168 |
| DOI:
|
10.21136/HS.2020.14 |
| . |
| Date available:
|
2026-03-12T13:55:59Z |
| Last updated:
|
2026-03-12 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153430 |
| . |
| Reference:
|
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| . |
