The product formula for Gromov-Witten invariants
Kai Behrend
TL;DR
This paper proves a fundamental property of Gromov-Witten invariants, showing that the invariants of a product of two varieties decompose into the tensor product of the invariants of each variety, simplifying computations.
Contribution
It establishes a product formula for Gromov-Witten invariants, connecting the invariants of product varieties to those of individual factors.
Findings
Gromov-Witten invariants of a product are tensor products of invariants of factors
Simplifies calculations of invariants for product varieties
Provides a foundational result in enumerative geometry
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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Biological Activity of Diterpenoids and Biflavonoids