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Quantum Cohomology of Hilb^2(P^1xP^1) and Enumerative Applications

Dalide Pontoni
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Abstract

We compute the Small Quantum Cohomology of Hilb^2(P^1xP^1) and determine recursively most of the Big Quantum Cohomology. We prove a relationship between the invariants so obtained and the enumerative geometry of hyperelliptic curves in P^1xP^1. This extends the results obtained by Graber for Hilb^2(P^2) and hyperelliptic curves in P^2.

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Dalide Pontoni. 2004-07-29. Quantum Cohomology of Hilb^2(P^1xP^1) and Enumerative Applications. https://arxiv.org/abs/math/0407508

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