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J-holomorphic Curves and Symplectic Topology - 2nd Edition

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Description

This second edition of J-holomorphic Curves and Symplectic Topology from the American Mathematical Society provides a rigorous foundation for one of the most significant theories in modern mathematics. Since its introduction by Gromov in 1985, the theory of J-holomorphic curves has become a central component of symplectic topology and served as a primary inspiration for the development of Floer homology. This text is designed to establish fundamental theorems with full detail and mathematical rigor. Beyond pure mathematics, the subject offers a natural framework for defining Gromov-Witten invariants and quantum cohomology, which are essential elements of the mirror symmetry conjecture in mathematical physics. This book is an essential resource for researchers and students working within geometry, topology, and mathematical physics.

Key Features

This second edition covers the theory of J-holomorphic curves and its applications in symplectic topology.

The text provides a detailed mathematical context for defining Gromov-Witten invariants and quantum cohomology.

The content establishes fundamental theorems of the subject with full and rigorous detail.

Published by the American Mathematical Society as part of the Colloquium Publications series.

The material explores the connections between J-holomorphic curves and the mirror symmetry conjecture in mathematical physics.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
30 September 2012
Listed Since
13 July 2012

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