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Chern classes and Gromov--Witten theory of projective bundles

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arxiv 1705.07421 v2 pith:P2YFL3OB submitted 2017-05-21 math.AG

Chern classes and Gromov--Witten theory of projective bundles

Honglu Fan This is my paper
classification math.AG
keywords chernclassesdeterminedgromov--wittenprojectivetheoryanswersarxiv
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We prove that the Gromov--Witten theory (GWT) of a projective bundle can be determined by the Chern classes and the GWT of the base. It completely answers a question raised in a previous paper (arXiv:1607.00740). Its consequences include that the GWT of the blow-up of X at a smooth subvariety Z is uniquely determined by GWT of X, Z plus some topological data.

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