On Weil homomorphism in locally free sheaves over structured spaces

On Weil homomorphism in locally free sheaves over structured spaces AbstractInspired 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.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

On Weil homomorphism in locally free sheaves over structured spaces

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Publisher
De Gruyter Open
Copyright
© by Ewa Falkiewicz
ISSN
0420-1213
eISSN
2391-4661
D.O.I.
10.1515/dema-2017-0003
Publisher site
See Article on Publisher Site

Abstract

AbstractInspired 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.

Journal

Demonstratio Mathematicade Gruyter

Published: Apr 25, 2017

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