Cohomology Rings of a Class of Torus Manifolds

2018/07/10 by Sarkar, Soumen, Stanley, Donald
#Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1807.03830

Abstract

Torus manifolds are topological generalization of smooth projective toric manifolds. We compute the rational cohomology ring of a class of smooth locally standard torus manifolds whose orbit space is a connected sum of simple polytopes.

Related

• K-theory of torus manifolds
• Equivariant cohomology ring of open torus manifolds with locally standard actions
• K theory of smooth complete toric varieties and related spaces
• Cohomological rigidity of manifolds with torus actions: I
• The cohomology ring of weight varieties and polygon spaces