On Losik Classes of Diffeomorphism Pseudogroups
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F25%3A50022839" target="_blank" >RIV/62690094:18470/25:50022839 - isvavai.cz</a>
Alternative codes found
RIV/44555601:13440/25:43899391
Result on the web
<a href="https://link.springer.com/article/10.1007/s00025-025-02553-9" target="_blank" >https://link.springer.com/article/10.1007/s00025-025-02553-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00025-025-02553-9" target="_blank" >10.1007/s00025-025-02553-9</a>
Alternative languages
Result language
angličtina
Original language name
On Losik Classes of Diffeomorphism Pseudogroups
Original language description
Let P be a pseudogroup of local diffeomorphisms of an n-dimensional smooth manifold M. Following Losik we consider characteristic classes of the quotient M/P as elements of the de Rham cohomology of the second order frame bundles over M/P coming from the generators of the Gelfand-Fuchs cohomology. We provide explicit expressions for the classes that we call Godbillon-Vey-Losik class and the first Chern-Losik class. Reducing the frame bundles we construct bundles over M/P such that the Godbillon-Vey-Losik class is represented by a volume form on a space of dimension 2n+1documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$2n+1$$end{document}, and the first Chern-Losik class is represented by a symplectic form on a space of dimension 2n. Examples in dimension 2 are considered.
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GF24-10031K" target="_blank" >GF24-10031K: Graded differential geometry with applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
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
RESULTS IN MATHEMATICS
ISSN
1422-6383
e-ISSN
1420-9012
Volume of the periodical
80
Issue of the periodical within the volume
8
Country of publishing house
CH - SWITZERLAND
Number of pages
17
Pages from-to
"Article Number: 235"
UT code for WoS article
001613279400001
EID of the result in the Scopus database
2-s2.0-105021518742