BPS state counting on singular varieties

Mathematics – Algebraic Geometry

Scientific paper

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13 pages Latex. Text reorganized. Expanded with comments on the spaces C_mn, proofs of Prop 4.1 and another proof of Prop. 5.4

Scientific paper

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.

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