4 papers
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…
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…