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.
Jose R. Oliveira
Minho University
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
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