The integral cohomology ring of E_8/T^1E_7
Algebraic Topology
2009-11-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0911.4793,
title = {The integral cohomology ring of E_8/T^1E_7},
author = {Masaki Nakagawa},
journal= {arXiv preprint arXiv:0911.4793},
year = {2009}
}
Comments
36pages, AMS-LaTeX