Partial quotients of moment-angle complexes are topological analogues of smooth, not
necessarily compact toric varieties. In 1998, Buchstaber and Panov proposed a formula for …

arXiv:1011.0573v1 [math.AG] 2 Nov 2010 Page 1 arXiv:1011.0573v1 [math.AG] 2 Nov 2010
COBORDISM RING OF TORIC VARIETIES AMALENDU KRISHNA, V. UMA Abstract. We …

A real toric space is a topological space which admits a well-behaved $\mathbb {Z} _2^ k $-
action. Real moment-angle complexes and real toric varieties are typical examples of real …

In this paper we illustrate a tight interplay between homotopy theory and combinatorics
within toric topology by explicitly calculating homotopy and combinatorial invariants of toric …

A fundamental result in toric topology identifies the cohomology ring of the moment-angle
complex $\mathcal {Z} _K $ associated to a simplicial complex $ K $ with the Koszul …

We investigate the equivariant intersection cohomology of a toric variety. Considering the
defining fan of the variety as a finite topological space with the subfans being the open sets …

This article centres on the cohomological aspects of'toric topology', a new and actively
developing field on the borders of equivariant topology, combinatorial geometry and …

Let X be a compact complex algebraic variety of pure dimension n whose Betti numbers
vanish in all odd degrees. Then the cohomology ring H∗(X) with complex coefficients is a …

Topologically, compact toric varieties can be constructed as identification spaces: they are
quotients of the product of a compact torus and the order complex of the fan. We give a …

A combinatorial construction is used to analyze the properties of polyhedral products and
generalized moment-angle complexes with respect to certain operations on CW pairs …