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Title:
The decomposition formula for log Gromov-Witten invariants
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Abstract:
A major goal of log Gromov-Witten theory is to reconstruct usual Gromov-Witten invariants of a smooth projective variety X using appropriate invariants of a degeneration of X. The decomposition formula is the first step toward this. It breaks the log invariants of a degeneration of X into terms which can be classified by the tropical curves in the dual complex of the degeneration of the target. Such decomposition of invariants follows from a decomposition on the level of virtual cycles. This is a joint work with Dan Abramovich, Mark Gross, and Bernd Siebert.
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