BPS invariants for resolutions of polyhedral singularities
Algebraic Geometry
2009-05-07 v1 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.0905.0537,
title = {BPS invariants for resolutions of polyhedral singularities},
author = {Jim Bryan and Amin Gholampour},
journal= {arXiv preprint arXiv:0905.0537},
year = {2009}
}