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Virtual Class of Zero Loci and Mirror Theorems

Artur Elezi
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Abstract

Let $Y$ be the zero loci of a regular section of a convex vector bundle $E$ over $X$. We provide a new proof of a conjecture of Cox, Katz and Lee for the virtual class of the genus zero moduli of stable maps to $Y$. This in turn yields the expected relationship between Gromov-Witten theories of $Y$ and $X$ which together with Mirror Theorems allows for the calculation of enumerative invariants of $Y$ inside of $X$.

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Artur Elezi. 2005-01-26. Virtual Class of Zero Loci and Mirror Theorems. https://arxiv.org/abs/math/0307386

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