Topological Field Theory
by Graeme Segal
Publisher: Duke University 1999
Number of pages: 43
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.
This document is no more available for free.
by Y. Eliashberg, A. Givental, H. Hofer - arXiv
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.
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.
by Linfan Mao - InfoQuest
Topics covered in this book include fundamental of mathematical combinatorics, differential Smarandache n-manifolds, combinatorial or differentiable manifolds and submanifolds, Lie multi-groups, combinatorial principal fiber bundles, etc.
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.