The Betti numbers of real toric varieties associated to Weyl chambers of type B

Abstract

The authors compute the (rational) Betti number of real toric varieties associated to Weyl chambers of type B, and furthermore show that their integral cohomology is p-torsion free for all odd primes p.

Keywords

Real toric variety / Real toric manifold / Betti number / Torsion-free cohomology / Root system / Weyl chambers / Type B / Generalized Euler number / Springer number / Shellability

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