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arXiv · 1701.01420

Real Ruan-Tian Perturbations

A. Zinger
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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.

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A. Zinger. 2017-01-05. Real Ruan-Tian Perturbations. https://arxiv.org/abs/1701.01420

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