arXiv Analytics

Sign in

arXiv:0911.4793 [math.AT]AbstractReferencesReviewsResources

The integral cohomology ring of E_8/T^1E_7

Masaki Nakagawa

Published 2009-11-25Version 1

We determine the integral cohomology ring of the homogeneous space E_8/T^1E_7 by the Borel presentation and a method due to Toda. Then using the Gysin exact sequence associated with the circle bundle S^1 -> E_8/E_7 -> E_8/T^1E_7, we also determine the integral cohomology of E_8/E_7.

Comments: 36pages, AMS-LaTeX
Categories: math.AT
Subjects: 57T15, 57T10
Related articles: Most relevant | Search more
arXiv:0912.0371 [math.AT] (Published 2009-12-02, updated 2010-03-24)
The integral cohomology ring of E_8/T
arXiv:1907.04777 [math.AT] (Published 2019-07-10)
The cohomology rings of homogeneous spaces
arXiv:0801.2444 [math.AT] (Published 2008-01-16, updated 2015-02-08)
Schubert presentation of the integral cohomology ring of the flag manifolds G/T

Links

Toolbox