The cohomology groups of real toric varieties associated to Weyl chambers of type $C$ and $D$

Abstract

Given a root system, the Weyl chambers in the co-weight lattice give rise to a real toric variety, called the real toric variety associated to the Weyl chambers. We compute the integral cohomology groups of real toric varieties associated to the Weyl chambers of type $C_n$ and $D_n$, completing the computation for all classical types.

10 pages, 4 tables

References in corpus (2)

• Integral cohomology groups of real toric manifolds and small covers
• Geometric representations of finite groups on real toric spaces

Cited by in corpus (2)

• Graph invariants and Betti numbers of real toric manifolds
• Geometric representations of finite groups on real toric spaces