Associative algebra twisted bundles over compact topological spaces

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Associative algebra twisted bundles over compact topological spaces
Original language description
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.
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
10101 - Pure mathematics

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

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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