5 citations · 7 across the 2 of their papers we have counts for
4 papers
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…
h-vectors of Gorenstein* simplicial posets
Mikiya Masuda
As is well known, h-vectors of simple (or simplicial) convex polytopes are characterized. In fact, those h-vectors must satisfy Dehn-Sommerville equations and some other inequaliti…
Elliptic genera, torus manifolds and multi-fans
Akio Hattori, Mikiya Masuda
The rigidity theorem of Witten-Bott-Taubes-Hirzebruch tells us that, if the circle group acts on a closed almost complex (or more generally unitary) manifold whose first Chern clas…
Theory of multi-fans
Akio Hattori, Mikiya Masuda
We introduce the notion of a multi-fan. It is a generalization of that of a fan in the theory of toric variety in algebraic geometry. Roughly speaking a toric variety is an algebra…