Quantum Euler class and virtual Tevelev degrees of Fano complete intersections

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, namely [$\href{https://arxiv.org/abs/2112.14824}{7}$, Conjecture 5.14]. 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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Received 20 June 2022

Received revised 14 February 2023

Accepted 26 March 2023

Published 13 November 2023