Genus-decreasing relation of Gromov-Witten invariants for surfaces under blow-up

Abstract

Using the degeneration formula, we study the change of Gromov-Witten invariants under blow-up for symplectic 4-manifolds and obtain a genus-decreasing relation of Gromov-Witten invariant of symplectic four manifold under blow-up.

Keywords

Gromov-Witten invariant / blow-up / degeneration formula

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