**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

**An Introduction to Conformal Field Theory**

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.

(

**7776**views)

**Lecture Notes on Topological Field Theory**

by

**Jian Qiu**-

**arXiv**

These notes cover some topics in both the perturbative and non-perturbative topological Chern-Simons theory: the quantization of Chern-Simons theory, the use of surgery for computation, brief discussions about framings, eta invariants, etc.

(

**4914**views)

**Conformal Field Theory, Tensor Categories and Operator Algebras**

by

**Yasuyuki Kawahigashi**-

**arXiv**

This is a set of lecture notes on the operator algebraic approach to 2-dimensional conformal field theory. Representation theoretic aspects and connections to vertex operator algebras are emphasized. No knowledge on operator algebras is assumed.

(

**2012**views)

**Conformal Field Theory on the Plane**

by

**Sylvain Ribault**-

**arXiv**

We provide an introduction to conformal field theory on the plane in the conformal bootstrap approach. We introduce the bootstrap approach to quantum field theory, and how they apply to two-dimensional theories with local conformal symmetry.

(

**1760**views)