3 citations · 3 across the 2 of their papers we have counts for
6 papers · 1 filter
Cellular cochain algebras and torus actions
Ilia V. Baskakov, Victor M. Buchstaber, Taras E. Panov
We prove that the integral cohomology algebra of the moment-angle complex Z_K, or of the corresponding coordinate subspace arrangement complement U(K), is isomorphic to the Tor-alg…
Torus actions, combinatorial topology and homological algebra
Victor M. Buchstaber, Taras E. Panov
The paper surveys some new results and open problems connected with such fundamental combinatorial concepts as polytopes, simplicial complexes, cubical complexes, and subspace arra…
Tangential Structures on Toric Manifolds, and Connected Sums of Polytopes
Victor M. Buchstaber, Nigel Ray
We extend work of Davis and Januszkiewicz by considering {\it omnioriented} toric manifolds, whose canonical codimension-2 submanifolds are independently oriented. We show that eac…
Moment-angle complexes and combinatorics of simplicial manifolds
Victor M. Buchstaber, Taras E. Panov
Let be the orbit map for the diagonal action of the torus on the unit poly-disk , is the unit cube. Let be a cubical subcomplex…
An Index of an Equivariant Vector Field and Addition Theorems for Pontrjagin Characteristic Classes
V. M. Buchstaber, K. E. Feldman
The theory of indices of Morse--Bott vector fields on a manifold is constructed and the famous localization problem for the transfer map is solved on its base in the present paper.…
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…