Transversality via gauge transformations for pseudo holomorphic disks in projectivized vector bundles
Symplectic Geometry
2018-11-27 v1
Abstract
We show that one can achieve transversality for lifts of holomorphic disks to a projectivized vector bundle by locally enlarging the structure group and considering the action of gauge transformations on the almost complex structure, which eases computation considerably. As an application we prove a special case of the Arnold-Givental conjecture.
Cite
@article{arxiv.1811.10402,
title = {Transversality via gauge transformations for pseudo holomorphic disks in projectivized vector bundles},
author = {Douglas Schultz},
journal= {arXiv preprint arXiv:1811.10402},
year = {2018}
}
Comments
24 pages, 1 figure