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arXiv · 1811.10402

Transversality via gauge transformations for pseudo holomorphic disks in projectivized vector bundles

Douglas Schultz
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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.

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Douglas Schultz. 2018-11-26. Transversality via gauge transformations for pseudo holomorphic disks in projectivized vector bundles. https://arxiv.org/abs/1811.10402

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