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

2017/04/30 by Choi, Suyoung, Kaji, Shizuo, Park, Hanchul
#14M25 #17B22 #57N65 #Algebraic Topology (math.AT) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1705.00275

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.

Related

• The Betti numbers of real toric varieties associated to Weyl chambers of type B
• Cohomology of Complements of Toric Arrangements Associated to Root Systems
• Weyl group symmetries of the toric variety associated with Weyl chambers
• The integer cohomology of toric Weyl arrangements
• On the integral cohomology of real toric manifolds