Introduction to Symplectic Field Theory
by Y. Eliashberg, A. Givental, H. Hofer
Publisher: arXiv 2000
Number of pages: 102
Description:
We sketch in this article a new theory, which we call Symplectic Field Theory or SFT, which provides an approach to Gromov-Witten invariants of symplectic manifolds and their Lagrangian submanifolds in the spirit of topological field theory, and at the same time serves as a rich source of new invariants of contact manifolds and their Legendrian submanifolds.
Download or read it online for free here:
Download link
(970KB, PDF)
Similar books

by Graeme Segal - Duke University
Contents: Topological field theories (The basic structure, The 'toy model' for a finite group, Open Strings, Area-dependent theories); The Index and Determinant of the Dirac Operator; Braided tensor categories; String algebras.
(8721 views)

by Jean Claude Dutailly - arXiv
The purpose is to study interacting particles in the General Relativity context, by the principle of least action using purely classical concepts. The particles are described by a state tensor using a Clifford algebra for the kinematic part.
(9566 views)

by Jan Ambjorn - arXiv.org
From the table of contents: Introduction; Bosonic propagators and random paths; Random surfaces and strings; Matrix models and two-dimensional quantum gravity; The mystery of c>1; Euclidean quantum gravity in d>2; Discussion.
(4187 views)

by Matthias R Gaberdiel - arXiv
A comprehensive introduction to two-dimensional conformal field theory is given. Conformal field theories have been at the center of attention during the last fifteen years since they are relevant for different areas of modern theoretical physics.
(11120 views)