Title: Generalized Equivariant Cohomologies of Singular Toric Varieties
Abstract:A complex $n$-dimensional toric variety is equipped with a natural action of compact torus $T^n$. In this paper, we introduce the notion of an \emph{almost simple polytope} and compute the $T^n$-equiv...A complex $n$-dimensional toric variety is equipped with a natural action of compact torus $T^n$. In this paper, we introduce the notion of an \emph{almost simple polytope} and compute the $T^n$-equivariant K-theory, cobordism theory and cohomology theory of toric varieties associated to almost simple polytopes with rational coefficients. Moreover, we introduce the concept of divisive toric variety generalizing the similar concept for weighted projective spaces.Read More
Publication Year: 2018
Publication Date: 2018-10-29
Language: en
Type: preprint
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Cited By Count: 2
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