Lagrangian Relations and Quantum L Infinity Algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10501886" target="_blank" >RIV/00216208:11320/25:10501886 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=xZd4jzPkmx" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=xZd4jzPkmx</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00220-025-05290-w" target="_blank" >10.1007/s00220-025-05290-w</a>

Result language
angličtina
Original language name
Lagrangian Relations and Quantum L Infinity Algebras
Original language description
Quantum L infinity algebras are higher loop generalizations of cyclic L infinity algebras. Motivated by the problem of defining morphisms between such algebras, we construct a linear category of (-1)-shifted symplectic vector spaces and distributional half-densities, originally proposed by Ševera. Morphisms in this category can be given both by formal half-densities and Lagrangian relations; we prove that the composition of such morphisms recovers the construction of homotopy transfer of quantum L infinity algebras. Finally, using this category, we propose a new notion of a relation between quantum L infinity algebras.
Czech name
—
Czech description
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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
Result was created during the realization of more than one project. More information in the Projects tab.
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

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