**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

**Yang Mills model of interacting particles in the classical field theory**

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.

(

**7580**views)

**Geometry of 2D Topological Field Theories**

by

**Boris Dubrovin**-

**arXiv**

These lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories. Topics: WDVV equations and Frobenius manifolds; Polynomial solutions of WDVV; Symmetries of WDVV; etc.

(

**9208**views)

**Applied Conformal Field Theory**

by

**Paul Ginsparg**-

**arXiv**

An elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory. Contents: Conformal theories; Central charge and the Virasoro algebra; Kac determinant and unitarity; etc.

(

**6378**views)

**Quantum Electrodynamics**

by

**Ingemar Bengtsson**-

**Stockholms universitet, Fysikum**

Lecture notes for a graduate course in quantum electrodynamics. Contents: What is a field theory; Quantum theory of the free scalar field; Spacetime properties; The Unruh effect; The Dirac field; Quantum theory of the Dirac field; and more.

(

**8538**views)