5 citations · 9 across the 3 of their papers we have counts for
9 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…
On the cohomology of torus manifolds
Mikiya Masuda, Taras Panov
A torus manifold is an even-dimensional manifold acted on by a half-dimensional torus with non-empty fixed point set and some additional orientation data. It may be considered as a…
Stanley-Reisner rings and torus actions
Taras E. Panov
We review a class of problems on the borders of topology of torus actions, commutative homological algebra and combinatorial geometry, which is currently being investigated by Vict…
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…
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…
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…