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BY-NC-ND 4.0 license Open Access Published by De Gruyter Open Access April 13, 2017

On Weil homomorphism in locally free sheaves over structured spaces

  • Ewa Falkiewicz EMAIL logo and Wiesław Sasin
From the journal Demonstratio Mathematica

Abstract

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.

MSC 2010: 14F05; 53B05; 57R20

References

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Received: 2016-07-15
Accepted: 2016-11-04
Published Online: 2017-04-13
Published in Print: 2017-04-25

© 2017 Ewa Falkiewicz and Wiesław Sasin

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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