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arXiv · 2204.08757

Quantum Lefschetz property for genus two stable quasimap invariants

Sanghyeon Lee·Mu-Lin Li·Jeongseok Oh
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Abstract

By the reduced component in a moduli space of stable quasimaps to n-dimensional projective space we mean the closure of the locus in which the domain curves are smooth. As in the moduli space of stable maps, we prove the reduced component is smooth in genus 2, degree greater or equal to 3. Then we prove the virtual fundamental cycle of the moduli space of stable quasimaps to a complete intersection X in the projective space of genus 2, degree greater or equal to 3 is explicitly expressed in terms of the fundamental cycle of the reduced component of the projective space and virtual cycles of lower genus moduli spaces of X.

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Sanghyeon Lee, Mu-Lin Li, Jeongseok Oh. 2022-04-19. Quantum Lefschetz property for genus two stable quasimap invariants. https://arxiv.org/abs/2204.08757

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