The Genus 0 Gromov-Witten Invariants of Projective Complete Intersections
Aleksey Zinger
TL;DR
This paper develops a detailed structural description and an explicit algorithm for genus 0 Gromov-Witten invariants of projective complete intersections, enabling qualitative analysis and growth bounds.
Contribution
It provides a comprehensive mirror formula structure and an explicit algorithm for computing genus 0 Gromov-Witten invariants of projective complete intersections.
Findings
Structural description of mirror formulas for invariants
Explicit algorithm for structure coefficients
Applications to vanishing results and growth bounds
Abstract
We describe the structure of mirror formulas for genus 0 Gromov-Witten invariants of projective complete intersections with any number of marked points and provide an explicit algorithm for obtaining the relevant structure coefficients. The structural description alone suffices for some qualitative applications, such as vanishing results and the bounds on the growth of these invariants predicted by R. Pandharipande.
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