Genus zero Gromov-Witten axioms via Kuranishi atlases
Symplectic Geometry
2016-01-18 v1
Abstract
A Kuranishi atlas is a structure used to build a virtual fundamental class on moduli spaces of -holomorphic curves. They were introduced by McDuff and Wehrheim to resolve some of the challenges in this field. This paper completes the construction of genus zero Gromov-Witten invariants using Kuranishi atlases and proves the Gromov-Witten axioms of Kontsevich and Manin. To do so, we introduce the notion of a transverse subatlas, a useful tool for working with Kuranishi atlases.
Keywords
Cite
@article{arxiv.1601.04048,
title = {Genus zero Gromov-Witten axioms via Kuranishi atlases},
author = {Robert Castellano},
journal= {arXiv preprint arXiv:1601.04048},
year = {2016}
}
Comments
38 pages