Equivariant cohomology of the Bott towers and equivariant Schubert calculus

摘要

'Equivariant cohomology of Bott towers and equivariant Schubert calculus'. We calculate the restrictions to fixed points of two bases of the equivariant cohomology of Bott towers, and we describe the multiplicative structure of these cohomology algebras. We build on the work of Duan to give a method to calculate the structure constants of the equivariant cohomology of the flag varieties (equivariant Schubert calculus).