Li-Zinger's hyperplane property for reduced genus one GWinvariants of quintics states that the genus one GW-invariants of the quintic threefold is the sum of its reduced genus one GWinvariants and 1/12 times its genus zero GW-invariants. We apply the theory of GW-invariants of stable maps with fields to give an algebro-geometric proof of this hyperplane property.
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