Hall algebras and curve-counting invariants
Journal of the American Mathematical Society, Tome 24 (2011) no. 4, pp. 969-998

Voir la notice de l'article provenant de la source American Mathematical Society

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.
DOI : 10.1090/S0894-0347-2011-00701-7

Bridgeland, Tom 1

1 All Souls College, Oxford, OX1 4AL United Kingdom
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Bridgeland, Tom. Hall algebras and curve-counting invariants. Journal of the American Mathematical Society, Tome 24 (2011) no. 4, pp. 969-998. doi: 10.1090/S0894-0347-2011-00701-7

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