Which homotopy algebra come from transfer?
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00551637" target="_blank" >RIV/67985840:_____/22:00551637 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1090/proc/15710" target="_blank" >https://doi.org/10.1090/proc/15710</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/proc/15710" target="_blank" >10.1090/proc/15710</a>
Alternative languages
Result language
angličtina
Original language name
Which homotopy algebra come from transfer?
Original language description
We characterize A∞-structures that are equivalent to a given transferred structure over a chain homotopy equivalence or a quasi-isomorphism, answering a question posed by D. Sullivan. Along the way, we present an obstruction theory for weak A∞-morphisms over an arbitrary commutative ring. We then generalize our results to P∞-structures over a field of characteristic zero, for any quadratic Koszul operad P.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA18-07776S" target="_blank" >GA18-07776S: Higher structures in algebra, geometry and mathematical physics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Proceedings of the American Mathematical Society
ISSN
0002-9939
e-ISSN
1088-6826
Volume of the periodical
150
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
16
Pages from-to
975-990
UT code for WoS article
000770070100007
EID of the result in the Scopus database
2-s2.0-85124656588