Uniruled Symplectic Divisors

Tian-Jun Li , Yongbin Ruan

Communications in Mathematics and Statistics ›› 2013, Vol. 1 ›› Issue (2) : 163 -212.

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Communications in Mathematics and Statistics ›› 2013, Vol. 1 ›› Issue (2) : 163 -212. DOI: 10.1007/s40304-013-0010-x
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Uniruled Symplectic Divisors

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Abstract

In this article, we consider the problem of lifting the GW theory of a symplectic divisor to that of the ambient manifold in the context of symplectic birational geometry. In particular, we generalize Maulik–Pandharipande’s relative/absolute correspondence to relative-divisor/absolute correspondence. Then, we use it to lift a minimal uniruled invariant of a divisor to that of the ambient manifold.

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Birational symplectic geometry / Gromov–Witten invariants / Symplectic divisor / Uniruled invariant

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Tian-Jun Li,Yongbin Ruan. Uniruled Symplectic Divisors. Communications in Mathematics and Statistics, 2013, 1(2): 163-212 DOI:10.1007/s40304-013-0010-x

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