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Blow-up formulae of high genus Gromov-Witten invariants in dimensional six

Published 18 Feb 2014 in math.AG and math.SG | (1402.4221v2)

Abstract: Using the degeneration formula and absolute/relative correspondence, one studied the change of Gromov-Witten invariants under blow-up for six dimensional symplectic manifolds and obtained closed blow-up formulae for high genus Gromov-Witten invariants. Our formulae also imply some relations among generalized BPS numbers introduced by Pandharipande.

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