Quantum Euler class and virtual Tevelev degrees of Fano complete intersections
Alessio Cela
TL;DR
This paper computes the quantum Euler class for Fano complete intersections, proves a conjecture, and derives formulas for virtual Tevelev degrees, providing an algorithm for Gromov-Witten invariants.
Contribution
It introduces a method to compute the quantum Euler class of Fano complete intersections and confirms a conjecture, advancing understanding of their Gromov-Witten invariants.
Findings
Quantum Euler class computed for Fano complete intersections
Confirmed a conjecture by Buch and Pandharipande
Provided formulas for virtual Tevelev degrees
Abstract
We compute the quantum Euler class of Fano complete intersections X in a projective space. In particular, we prove a recent conjecture of A. Buch and R. Pandharipande. Finally we apply our result to obtain formulas for the virtual Tevelev degrees of X. An algorithm computing all genus 0 two-point Hyperplane Gromov Witten invariants of X is illustrated along the way.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Geometric and Algebraic Topology