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alg-geomOct 10, 1997
36
citations (OpenAlex)
authors
  • Kai Behrend
arXiv abstractPDF
paper

The product formula for Gromov-Witten invariants

arXiv:alg-geom/9710014

Abstract

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.

LaTeX

References in corpus (2)

  • Quantum Cohomology of a Product
  • Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties

Cited by in corpus (16)

  • Holomorphic anomaly equations and the Igusa cusp form conjecture
  • Gromov-Witten theory with maximal contacts
  • Curve counting on elliptic Calabi-Yau threefolds via derived categories
  • The Log Product Formula
  • On the log-local principle for the toric boundary
  • Invariance of quantum rings under ordinary flops: III
  • A quantum Leray-Hirsch theorem for banded gerbes
  • Stable Spin Maps, Gromov-Witten Invariants, and Quantum Cohomology
  • Comparison theorems for Gromov-Witten invariants of smooth pairs and of degenerations
  • Gromov-Witten invariants and pseudo symplectic capacities
  • The Log Product Formula in quantum K-theory
  • The Cohomological Crepant Resolution Conjecture for the Hilbert-Chow morphisms
  • Towards motivic quantum cohomology of Mˉ0,S​
  • The tensor product in the theory of Frobenius manifolds
  • A product formula for log Gromov-Witten invariants
  • The Weinstein conjecture in the uniruled manifolds
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