Hall algebras and curve-counting invariants

Details Hall algebras and curve-counting invariants Hall algebras and curve-counting invariants

2010-02-23

arxiv.org/abs/1002.4374v1

Mathematics

Algebraic Geometry

36 pages

Scientific paper

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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