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Chern classes and Gromov-Witten theory of projective bundles
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 143, Number 3, June 2021
- pp. 811-832
- 10.1353/ajm.2021.0020
- Article
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Abstract
abstract:
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. 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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