61 citations · 431 across the 48 of their papers we have counts for
5 papers · 2 filters
Torus actions, equivariant moment-angle complexes, and coordinate subspace arrangements
Victor M. Buchstaber, Taras E. Panov
We show that the cohomology algebra of the complement of a coordinate subspace arrangement in m-dimensional complex space is isomorphic to the cohomology algebra of Stanley-Reisner…
Hirzebruch genera of manifolds with torus action
Taras E. Panov
A quasitoric manifold is a smooth 2n-manifold M^{2n} with an action of the compact torus T^n such that the action is locally isomorphic to the standard action of T^n on C^n and the…
Torus actions and combinatorics of polytopes
Victor M. Buchstaber, Taras E. Panov
An n-dimensional polytope P^n is called simple if exactly n codimension-one faces meet at each vertex. The lattice of faces of a simple polytope P^n with m codimension-one faces de…
Calculation of Hirzebruch genera for manifolds acted on by the group Z/p via invariants of the action
Taras E. Panov
We obtain general formulae expressing Hirzebruch genera of a manifold with Z/p-action in terms of invariants of this action (the sets of weights of fixed points). As an illustratio…
On the cobordism classification of manifolds with Z/p-action
Taras E. Panov
We refer to an action of the group Z/p (p here is an odd prime) on a stably complex manifold as simple if all its fixed submanifolds have the trivial normal bundle. The important p…