On Homological Reduction of Poisson Structures

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F25%3A50022372" target="_blank" >RIV/62690094:18470/25:50022372 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00220-025-05232-6" target="_blank" >https://link.springer.com/article/10.1007/s00220-025-05232-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00220-025-05232-6" target="_blank" >10.1007/s00220-025-05232-6</a>

Result language
angličtina
Original language name
On Homological Reduction of Poisson Structures
Original language description
Given an action on a Poisson manifold and an equivariant map for a module, we obtain, under natural compatibility and regularity conditions previously considered by Cattaneo–Zambon, a homotopy Poisson algebra generalizing the classical BFV algebra described by Kostant–Sternberg in the usual hamiltonian setting. As an application of our methods, we also derive homological models for the reduced spaces associated to quasi-Poisson and hamiltonian quasi-Poisson spaces.
Czech name
—
Czech description
—

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

Project
<a href="/en/project/GF24-10031K" target="_blank" >GF24-10031K: Graded differential geometry with applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)