Witten Genus on String Toric Complete Intersections
Lin-Da Xiao
TL;DR
This paper proves the vanishing of the Witten genus for certain string complete intersections within smooth toric varieties using equivariant localization techniques.
Contribution
It introduces a method to establish the vanishing of the Witten genus for specific classes of string complete intersections in toric varieties.
Findings
Witten genus vanishes for certain string complete intersections
Application of equivariant localization formula in toric varieties
New results on the topology of string complete intersections
Abstract
By using the equivariant localization formula of toric varieties. We prove the vanishing of the Witten genus of some string complete intersections in smooth toric varieties.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models