Real Ruan-Tian Perturbations
Symplectic Geometry
2017-01-06 v1 High Energy Physics - Theory
Algebraic Geometry
Abstract
Ruan-Tian deformations of the Cauchy-Riemann operator enable a geometric definition of (standard) Gromov-Witten invariants of semi-positive symplectic manifolds in arbitrary genera. We describe an analogue of these deformations compatible with our recent construction of real Gromov-Witten invariants in arbitrary genera. Our approach avoids the need for an embedding of the universal curve into a smooth manifold and systematizes the deformation-obstruction setup behind constructions of Gromov-Witten invariants.
Cite
@article{arxiv.1701.01420,
title = {Real Ruan-Tian Perturbations},
author = {A. Zinger},
journal= {arXiv preprint arXiv:1701.01420},
year = {2017}
}
Comments
50 pages, 2 figures