%0 Journal Article
%T A Reconstruction Theorem for Quantum Cohomology of Fano Bundles on Projective Space
%A Andrew Strangeway
%J Mathematics
%D 2013
%I arXiv
%X We present a reconstruction theorem for Fano vector bundles on projective space which recovers the small quantum cohomology for the projectivisation of the bundle from a small number of low-degree Gromov--Witten invariants. We provide an extended example in which we calculate the quantum cohomology of a certain Fano 9-fold and deduce from this, using the quantum Lefschetz theorem, the quantum period sequence for a Fano 3-fold of Picard rank 2 and degree 24. This example is new, and is important for the Fanosearch programme.
%U http://arxiv.org/abs/1302.5089v2