14 citations · 109 across the 30 of their papers we have counts for
5 papers · 1 filter
Volume polynomials and duality algebras of multi-fans
Anton Ayzenberg, Mikiya Masuda
We introduce a theory of volume polynomials and corresponding duality algebras of multi-fans. Any complete simplicial multi-fan determines a volume polynomial whose value…
Locally standard torus actions and sheaves over Buchsbaum posets
Anton Ayzenberg
We consider a sheaf of exterior algebras on a simplicial poset and introduce a notion of homological characteristic function. Two natural objects are associated with these data…
Topological model for h"-vectors of simplicial manifolds
Anton Ayzenberg
Any manifold with boundary gives rise to a Poincare duality algebra in a natural way. Given a simplicial poset whose geometric realization is a closed orientable homology manif…
Homology cycles in manifolds with locally standard torus actions
Anton Ayzenberg
Let be a -manifold with a locally standard action of a compact torus . If the free part of action is trivial and proper faces of the orbit space are acyclic, then…
Locally standard torus actions and h'-vectors of simplicial posets
Anton Ayzenberg
We consider the orbit type filtration on a manifold with locally standard action of a compact torus and the corresponding homological spectral sequence . If all…