Cosimplicial cohomology of restricted meromorphic functions on foliated manifolds
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00636775" target="_blank" >RIV/67985840:_____/25:00636775 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.indag.2024.10.003" target="_blank" >https://doi.org/10.1016/j.indag.2024.10.003</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.indag.2024.10.003" target="_blank" >10.1016/j.indag.2024.10.003</a>
Alternative languages
Result language
angličtina
Original language name
Cosimplicial cohomology of restricted meromorphic functions on foliated manifolds
Original language description
Starting from the axiomatic description of meromorphic functions with prescribed analytic properties, we introduce the cosimplicial cohomology of restricted meromorphic functions defined on foliations of smooth complex manifolds. Spaces for double chain-cochain complexes and coboundary operators are constructed. Multiplications of several restricted meromorphic functions with non-commutative parameters, as well as for elements of double complex spaces are introduced and their properties are discussed. In particular, we prove that the construction of invariants of cosimplicial cohomology of restricted meromorphic functions is non-vanishing, independent of the choice of the transversal basis for a foliation, and invariant with respect to changes of coordinates on a smooth manifold and on transversal sections. As an application, we provide an example of general cohomological invariants, in particular, generalizing the Godbillon–Vey invariant for codimension one foliations.
Czech name
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Czech description
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Classification
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
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Indagationes Mathematicae-New Series
ISSN
0019-3577
e-ISSN
1872-6100
Volume of the periodical
36
Issue of the periodical within the volume
4
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
16
Pages from-to
961-976
UT code for WoS article
001511668900003
EID of the result in the Scopus database
2-s2.0-85207285035