The MV formalism for IBL infinity- and BV infinity-algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10371181" target="_blank" >RIV/00216208:11320/17:10371181 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s11005-017-0954-y" target="_blank" >http://dx.doi.org/10.1007/s11005-017-0954-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11005-017-0954-y" target="_blank" >10.1007/s11005-017-0954-y</a>

Result language
angličtina
Original language name
The MV formalism for IBL infinity- and BV infinity-algebras
Original language description
We develop a new formalism for the quantum master equation and the category of -algebras and simplify some homotopical algebra arising in the context of oriented surfaces with boundary. We introduce and study a category of MV-algebras, which, on the one hand, contains such important categories as those of IBL infinity-algebras and L-infinity-algebras and, on the other hand, is homotopically trivial, in particular allowing for a simple solution of the quantum master equation. We also present geometric interpretation of our results.
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
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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