Transfers of A∞- and other homotopy structures as Grothendieck bifibrations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00641925" target="_blank" >RIV/67985840:_____/25:00641925 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1090/proc/17361" target="_blank" >https://doi.org/10.1090/proc/17361</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1090/proc/17361" target="_blank" >10.1090/proc/17361</a>

Result language

angličtina

Original language name

Transfers of A∞- and other homotopy structures as Grothendieck bifibrations

Original language description

We study the functor that assigns to an A∞-morphism between isotopy classes of A∞-algebras, whose linear part is a chain homotopy equivalence, its underlying chain map. We show that this functor is a discrete Grothendieck bifibration. We then generalize our results to P∞-structures over a field of characteristic zero, for an arbitrary quadratic Koszul operad P. An immediate application is a categorical framework in which the transfers of, for example, A∞-, L∞- and C∞-structures are strictly functorial.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Proceedings of the American Mathematical Society

ISSN

0002-9939

e-ISSN

1088-6826

Volume of the periodical

153

Issue of the periodical within the volume

12

Country of publishing house

US - UNITED STATES

Number of pages

15

Pages from-to

5103-5117

UT code for WoS article

001605560900001

EID of the result in the Scopus database

2-s2.0-105024341621