BPS invariants for resolutions of polyhedral singularities

Details BPS invariants for resolutions of polyhedral singularities BPS invariants for resolutions of polyhedral singularities

2009-05-05

arxiv.org/abs/0905.0537v1

Mathematics

Algebraic Geometry

Scientific paper

We study the BPS invariants of the preferred Calabi-Yau resolution of ADE polyhedral singularities C^3/G given by Nakamura's G-Hilbert schemes. Genus 0 BPS invariants are defined by means of the moduli space of torsion sheaves as proposed by Sheldon Katz. We show that these invariants are equal to half the number of certain positive roots of an ADE root system associated to G. This is in agreement with the prediction via Gromov-Witten theory.

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