On the Z2-cohomology cup-length of some real flag manifolds

Abstract

In this paper we discuss two different techniques for calculating the Z2-cohomology cup-length - one based on fiberings and a result of Horanska and Korbas, and the other based on Gr?bner bases. We use these techniques to obtain Z2-cohomology cup-length or bounds for the Z2-cohomology cup-length of some of the real flag manifolds F(1,...,1,2...,2,n). [Projekat Ministarstva nauke Republike Srbije, br. 174008]

On real flag manifolds with cup-length equal to its dimension

“…To complete the proof of our main result we use the method of "fiberings" introduced by Horanská and Korbaš in [4]. This method proved very useful in cup-length calculation (see [4], [5], [9]). It is based on the following result.…”