6 citations · 7 across the 7 of their papers we have counts for
7 papers
On a Morelli type expression of cohomology classes of torus orbifolds
Akio Hattori
Let X be a complete toric variety of dimension n and \del the fan in a lattice N associated to X. For each cone σof \del there corresponds an orbit closure V(σ) of the action of co…
On a Morelli type expression of cohomology classes of toric varieties
Akio Hattori
Let be a complete $\Q$-factorial toric variety of dimension and $\del$ the fan in a lattice associated to . For each cone of $\del$ there corresponds an orbit cl…
Invariance property of orbifold elliptic genus for multi-fans
Akio hattori
Multi-fan is an analogous notion of fan. As a fan is associated to a toric variety a multi-fan is associated to a torus orbifold. Orbifold elliptic class and orbifold elliptic genu…
Elliptic genera, torus orbifolds and multi-fans; II
Akio Hattori
This article is a continuation of SG/0107014. Some vanishing theorems for orbifold elliptic genus of level N for multi-fans are proved. As an application, complete Q-factorial tori…
Orbifold elliptic genera and rigidity
Akio Hattori
Three types of rigidity theorem for orbifold elliptic genus of level N are proved. The first type deals with the case where N is relatively prime to the orders of all isotropy grou…
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…