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BPS invariants for resolutions of polyhedral singularities

Bryan, Jim and Gholampour, Amin (2009) BPS invariants for resolutions of polyhedral singularities. Selecta Mathematica - New Series, 15 (4). pp. 521-533. ISSN 1022-1824.

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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 Katz (J Differ Geom 79(2):185–195, 2008). 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 given in Bryan and Gholampour (Invent Math, in press) via Gromov–Witten theory.

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Additional Information:© 2009 Birkhauser Verlag Basel/Switzerland. Published online 3 September 2009.
Issue or Number:4
Classification Code:Mathematics Subject Classification (2000): Primary 14N35
Record Number:CaltechAUTHORS:20100108-200534440
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:17123
Deposited By: Joy Painter
Deposited On:11 Jan 2010 17:52
Last Modified:03 Oct 2019 01:23

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