Elementary calculation of the cohomology rings of real Grassmann manifolds

Rustam Sadykov

Vol. 289 (2017), No. 2, 443–447

DOI: 10.2140/pjm.2017.289.443

Abstract

We give elementary proofs of the Takeuchi and He theorems on the real cohomology rings and real equivariant cohomology rings of real Grassmann manifolds.

Keywords

Grassmann manifolds, equivariant cohomology

Mathematical Subject Classification 2010

Primary: 14M15, 57T15

Secondary: 22C05

Milestones

Received: 30 August 2015

Revised: 5 February 2017

Accepted: 10 February 2017

Published: 19 June 2017