Invariant classes of framed meromorphic functions on foliations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00643652" target="_blank" >RIV/67985840:_____/25:00643652 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.55318/bgjp.2025.52.s1.181" target="_blank" >https://doi.org/10.55318/bgjp.2025.52.s1.181</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.55318/bgjp.2025.52.s1.181" target="_blank" >10.55318/bgjp.2025.52.s1.181</a>

Result language

angličtina

Original language name

Invariant classes of framed meromorphic functions on foliations

Original language description

Foliations are very important in Physics, in particular, in integrable models. In this paper we apply the Losik approach to cohomology classes of foliations defined on smooth manifolds. Explicitly, we introduce a map from the cohomology of restricted meromorphic functions to the cohomology of the space of frames of a foliation. As a result, we construct explicitly non-trivial and coordinate-free cohomology classes with respect to converging products of restricted meromorphic functions on arbitrary codimension foliated manifolds.

Czech name

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Czech description

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Type

J_ost - Miscellaneous article in a specialist periodical

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

2025

Confidentiality

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

Name of the periodical

Bulgarian Journal Physics

ISSN

1310-0157

e-ISSN

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Volume of the periodical

52

Issue of the periodical within the volume

S1

Country of publishing house

BG - BULGARIA

Number of pages

6

Pages from-to

181-186

UT code for WoS article

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EID of the result in the Scopus database

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