Elliptic Genera, Torus Orbifolds and Multi-fans
نویسنده
چکیده
Multi-fan is an analogous notion of fan in toric theory. Fan is a combinatorial object associated to a toric variety. Multi-fan is associated to an orbifold with an action of half the dimension of the orbifold. In this paper the equivariant elliptic genus and the equivariant orbifold elliptic genus of multi-fans are defined and their character formulas are exhibited. A vanishing theorem concerning elliptic genus of multi-fans of global type and its applications to toric varieties are given.
منابع مشابه
Elliptic Genera, Torus Orbifolds and Multi-fans
A torus orbifold is an oriented closed orbifold of even dimension which admits an action of a torus of half the dimension of the orbifold with some orientation data concerning codimension two fixed point set components of circle subgroups and with some restrictions on isotropy groups of points of the orbifold. Typical examples are complete toric varieties with simplicial fan. To a toric variety...
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