BPS state counting on singular varieties
arXiv:1105.1068 · doi:10.1088/1751-8113/45/26/265401
Abstract
We define new partition functions for theories with targets on toric singularities via products of old partition functions on crepant resolutions. We compute explicit examples and show that the new partition functions turn out to be homogeneous on MacMahon factors.
16 pages Latex. Text reorganized. Expanded with comments on the spaces C_mn, proofs of Prop 4.1 and another proof of Prop. 5.4 added. Reference list updated.Version published in J. Phys A (color online)
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