Quantum invariance under ordinary flops

来源 :2016年整体镜像对称研讨会(workshop on Global Mirror Symmetry) | 被引量 : 0次 | 上传用户:Willy
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  For a general ordinary flop $X \dashrightarrow X$,the correspondence induced by the graph closure induces an isomorphism of big quantum rings of $X$ and $X$ after an analytic continuation over the Novikov variables corresponding to the extremal rays.I would like to introduce this result and outline the proof,which is achieved by(ⅰ)constructing the quantum corrections along extremal rays and reduction to local models(by LLW),(ⅱ)a quantum Leray-Hirsch theorem(by LLW)and(ⅲ)a quantum splitting principle(by LLW and F.Qu).
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