Yury Ustinovsky
Toral rank conjecture for moment-angle complexes.
Tue, 09/08/2009 - 12:16 — SomNambulAuthors: Yury Ustinovsky
Subjects: Algebraic Topology
AbstractIn this paper we consider an operation on the set of simplicial complexes,
which we call "doubling operation". We show that the moment-angle complex Z_K
is the real moment-angle complex RZ_L(K) for simplicial complex L(K) obtained
from K by applying "doubling operation". As an application of this operation we
prove the toral rank conjecture for Z_K by estimating the lower bound of the
cohomology rank (with rational coefficients) of the real moment-angle complexes
RZ_K.Doubling operation for polytopes and torus actions.
Tue, 09/08/2009 - 12:16 — SomNambulAuthors: Yury Ustinovsky
Subjects: Algebraic Topology
AbstractIn this note we give the definition of the "doubling operation" for simple
polytopes, find the formula for the h-polynomial of new polytope.As an
application of this operation we establish the relationship between
moment-angle manifolds and their real analogues and prove the toral rank
conjecture for moment-angle manifolds Z_P.
User login
