Associative algebra twisted bundles over compact topological spaces

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00546247" target="_blank" >RIV/67985840:_____/21:00546247 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.geomphys.2021.104393" target="_blank" >https://doi.org/10.1016/j.geomphys.2021.104393</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.geomphys.2021.104393" target="_blank" >10.1016/j.geomphys.2021.104393</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Associative algebra twisted bundles over compact topological spaces

Popis výsledku v původním jazyce

For the associative algebra $A(mathfrak g)$ of an infinite-dimensional Lie algebra $mathfrak g$, we introduce twisted fiber bundles over arbitrary compact topological spaces. Fibers of such bundles are given by elements of algebraic completion of the space of formal series in complex parameters, sections are provided by rational functions with prescribed analytic properties. Homotopical invariance as well as covariance in terms of trivial bundles of twisted A(mathfrak g)$-bundles is proven. Further applications of the paper's results useful for studies of the cohomology of infinite-dimensional Lie algebras on smooth manifolds, $K$-theory, as well as for purposes of conformal field theory, deformation theory, and the theory of foliations are mentioned.

Název v anglickém jazyce

Associative algebra twisted bundles over compact topological spaces

Popis výsledku anglicky

For the associative algebra $A(mathfrak g)$ of an infinite-dimensional Lie algebra $mathfrak g$, we introduce twisted fiber bundles over arbitrary compact topological spaces. Fibers of such bundles are given by elements of algebraic completion of the space of formal series in complex parameters, sections are provided by rational functions with prescribed analytic properties. Homotopical invariance as well as covariance in terms of trivial bundles of twisted A(mathfrak g)$-bundles is proven. Further applications of the paper's results useful for studies of the cohomology of infinite-dimensional Lie algebras on smooth manifolds, $K$-theory, as well as for purposes of conformal field theory, deformation theory, and the theory of foliations are mentioned.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Journal of Geometry and Physics

ISSN

0393-0440

e-ISSN

1879-1662

Svazek periodika

170

Číslo periodika v rámci svazku

December

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

8

Strana od-do

104393

Kód UT WoS článku

000707149800005

EID výsledku v databázi Scopus

2-s2.0-85116489567