The integral cohomology ring of E_8/T^1E_7

Details The integral cohomology ring of E_8/T^1E_7 The integral cohomology ring of E_8/T^1E_7

2009-11-25

arxiv.org/abs/0911.4793v1

Mathematics

Algebraic Topology

36pages, AMS-LaTeX

Scientific paper

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.

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