The integral cohomology ring of E_8/T^1E_7

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.

36pages, AMS-LaTeX

References in corpus (1)

• Chow ring structure made simple

Cited by in corpus (1)

• Mod p decompositions of the loop spaces of compact symmetric spaces