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math.SG2001
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…
math.SG2001
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…