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arXiv · 1002.4374

Hall algebras and curve-counting invariants

Tom Bridgeland
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Abstract

We use Joyce's theory of motivic Hall algebras to prove that reduced Donaldson-Thomas curve-counting invariants on Calabi-Yau threefolds coincide with stable pair invariants, and that the generating functions for these invariants are Laurent expansions of rational functions.

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Tom Bridgeland. 2010-02-23. Hall algebras and curve-counting invariants. https://arxiv.org/abs/1002.4374

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