· 2012
J-holomorphic curves and symplectic topology
- 940citations
- 2012year
Short summary
This book rigorously establishes the fundamental theorems of J-holomorphic curves, a theory crucial for advancements in symplectic topology and mathematical physics.
AI-generated from the title and abstract; the full text is not read.
Key points
- Establishes fundamental theorems of J-holomorphic curves in full detail.
- Theory is critical for symplectic topology and Floer homology.
- Provides context for Gromov-Witten invariants and quantum cohomology in mathematical physics.
- Key ingredient for the mirror symmetry conjecture.
AI-generated from the title and abstract; the full text is not read.
Abstract
The theory of J-holomorphic curves has been of great importance since its introduction by Gromov in 1985. In mathematics, its applications include many key results in symplectic topology. It was also one of the main inspirations for the creation of Floer homology. In mathematical physics, it provides a natural context in which to define Gromov-Witten invariants and quantum cohomology, two important ingredients of the mirror symmetry conjecture. The main goal of this book is to establish the fundamental theorems of the subject in full and rigorous detail. In particular, the book contains comple
The authors' abstract, as published at the source., 2012 · DOI ↗
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Field: Geometry and Topology
Geometry and TopologyMathematics