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The product formula for Gromov-Witten invariants

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arxiv alg-geom/9710014 v1 pith:TIIVIQJP submitted 1997-10-10 alg-geom math.AG

classification alg-geommath.AG
keywords gromov-witteninvariantsproductequalfactorsformulaprovesystem
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We prove that the system of Gromov-Witten invariants of the product of two varieties is equal to the tensor product of the systems of Gromov-Witten invariants of the two factors.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the $K$-theoretic logarithmic double ramification class

    math.AG 2026-07 conditional novelty 7.0 of 10

    A K-theoretic logarithmic double ramification class is constructed, shown to satisfy a GL_r(Z)-invariant product formula in colimit log K-theory, and computed by a new stack-valued Thom–Porteous formula.

  2. A Celestial Description of Planar Super-Yang-Mills Theory

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Extends celestial RSVW formalism to minitwistor superspace to build tree-level N^k-MHV leaf amplitudes in planar N=4 SYM and gives dynamical realizations via Wilson operators on algebraic cycles and a minitwistor sigma model.

  3. Hodge integrals and $\lambda_{g}$ conjecture with target varieties

    math.AG 2024-11 conditional novelty 6.0 of 10

    A generalized λ_g conjecture constraining Hodge integrals on arbitrary smooth projective varieties is proposed and proved in genus 0 and genus 1, and in all genera under Virasoro-type hypotheses.

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