Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
qr-code QR
Code

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2018; 33(4): 1357-1366

Online first article July 3, 2018      Printed October 31, 2018

https://doi.org/10.4134/CKMS.c170463

Copyright © The Korean Mathematical Society.

Mayer-Vietoris sequence in cohomology of Lie algebroids on simplicial complexes

Jose R. Oliveira

Minho University

Abstract

Go to

It is shown that the Mayer-Vietoris sequence holds for the cohomology of complexes of Lie algebroids which are defined on simplicial complexes and satisfy the compatibility condition concerning restrictions to the faces of each simplex. The Mayer-Vietoris sequence will be obtained as a consequence of the extension lemma for piecewise smooth forms defined on complexes of Lie algebroids.

Keywords: Lie algebroid cohomology, Mayer-Vietoris sequence, simplicial space, piecewise smooth forms

MSC numbers: Primary 58H05, 55R10, 57T99

Article Tools

Stats or Metrics

Share this article on :

Related articles in CKMS