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arxiv: math/0110113 · v1 · submitted 2001-10-10 · 🧮 math.AG

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A Degeneration formula of GW-invariants

Jun Li
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classification 🧮 math.AG
keywords degenerationformulagromov-witteninvariantsmorphismsrelativesmoothstable
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This is the second part of the paper "A degeneration of stable morphisms and relative stable morphisms", (math.AG/0009097). In this paper, we constructed the relative Gromov-Witten invariants of a pair of a smooth variety and a smooth divisor. We then proved a degeneration formula of Gromov-Witten invariants, in cycle form.

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  1. Cut and paste invariants of moduli spaces of stable maps to toric surfaces

    math.AG 2026-04 unverdicted novelty 6.0

    A chamber decomposition of tangency conditions for log stable maps to toric surfaces makes the Grothendieck class of the moduli space constant within chambers defined by fixed cyclic orderings.