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A quantum splitting principle and an application

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arxiv 1708.08020 v2 pith:5N27JSUT submitted 2017-08-26 math.AG

A quantum splitting principle and an application

classification math.AG
keywords theoryapplicationgromov--wittenprinciplesplittinganalogybundleembedded
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We propose an analogy of splitting principle in genus $0$ Gromov--Witten theory. More precisely, we show how the Gromov--Witten theory of a variety $X$ can be embedded into the theory of the projectivization of a vector bundle over $X$. An application is also given.

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