The MV formalism for IBL$_infty$- and BV$_infty$-algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00476001" target="_blank" >RIV/67985840:_____/17:00476001 - 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$_infty$- and BV$_infty$-algebras
Original language description
We develop a new formalism for the quantum master equation $Delta e^{S/hbar=0$ and the category of IBL$_infty$-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$_infty$-algebras and L$_infty$-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
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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
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

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