Chern classes and Gromov--Witten theory of projective bundles
Algebraic Geometry
2017-05-29 v2
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 (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.
Keywords
Cite
@article{arxiv.1705.07421,
title = {Chern classes and Gromov--Witten theory of projective bundles},
author = {Honglu Fan},
journal= {arXiv preprint arXiv:1705.07421},
year = {2017}
}