On Weil homomorphism in locally free sheaves over structured spaces

On Weil homomorphism in locally free sheaves over structured spaces

Inspired by the work of Heller and Sasin [1], we construct in this paper Weil homomorphism in a locally free sheaf W of ϕ-fields [2] over a structured space. We introduce the notion of G-consistent, linear connection on this sheaf, what allows us to clearly define Chern, Pontrjagin and Euler charact...

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Bibliographic Details
Main Authors: Falkiewicz Ewa, Sasin Wiesław
Format: Article
Language:English
Published: De Gruyter 2017-04-01
Series:Demonstratio Mathematica
Subjects:
Structured space
Locally free sheaf
Linear connection
Curvature
Weil homomorphism
Invariant forms
14F05
53B05
57R20
Online Access:http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0003/dema-2017-0003.xml?format=INT
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spelling doaj-f9fec90de868424386d70259ff15454a2020-11-24T21:23:12ZengDe GruyterDemonstratio Mathematica2391-46612017-04-01501284110.1515/dema-2017-0003dema-2017-0003On Weil homomorphism in locally free sheaves over structured spacesFalkiewicz Ewa0Sasin Wiesław1Department of Mathematics, Radom University of Technology, Malczewskiego 20a, 26-600 Radom, PolandFaculty of Mathematics and Information Science, Warsaw University of Technology, Koszykowa 75, 00-662 Warszawa, PolandInspired by the work of Heller and Sasin [1], we construct in this paper Weil homomorphism in a locally free sheaf W of ϕ-fields [2] over a structured space. We introduce the notion of G-consistent, linear connection on this sheaf, what allows us to clearly define Chern, Pontrjagin and Euler characteristic classes. We also show proper equalities between those classes.http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0003/dema-2017-0003.xml?format=INTStructured spaceLocally free sheafLinear connectionCurvatureWeil homomorphismInvariant forms14F0553B0557R20
collection DOAJ
language English
format Article
sources DOAJ
author Falkiewicz Ewa
Sasin Wiesław
spellingShingle Falkiewicz Ewa
Sasin Wiesław
On Weil homomorphism in locally free sheaves over structured spaces
Demonstratio Mathematica
Structured space
Locally free sheaf
Linear connection
Curvature
Weil homomorphism
Invariant forms
14F05
53B05
57R20
author_facet Falkiewicz Ewa
Sasin Wiesław
author_sort Falkiewicz Ewa
title On Weil homomorphism in locally free sheaves over structured spaces
title_short On Weil homomorphism in locally free sheaves over structured spaces
title_full On Weil homomorphism in locally free sheaves over structured spaces
title_fullStr On Weil homomorphism in locally free sheaves over structured spaces
title_full_unstemmed On Weil homomorphism in locally free sheaves over structured spaces
title_sort on weil homomorphism in locally free sheaves over structured spaces
publisher De Gruyter
series Demonstratio Mathematica
issn 2391-4661
publishDate 2017-04-01
description Inspired by the work of Heller and Sasin [1], we construct in this paper Weil homomorphism in a locally free sheaf W of ϕ-fields [2] over a structured space. We introduce the notion of G-consistent, linear connection on this sheaf, what allows us to clearly define Chern, Pontrjagin and Euler characteristic classes. We also show proper equalities between those classes.
topic Structured space
Locally free sheaf
Linear connection
Curvature
Weil homomorphism
Invariant forms
14F05
53B05
57R20
url http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0003/dema-2017-0003.xml?format=INT
work_keys_str_mv AT falkiewiczewa onweilhomomorphisminlocallyfreesheavesoverstructuredspaces
AT sasinwiesław onweilhomomorphisminlocallyfreesheavesoverstructuredspaces
_version_ 1725993023309873152

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