Introduction to Symplectic Field Theory
by Y. Eliashberg, A. Givental, H. Hofer
Publisher: arXiv 2000
Number of pages: 102
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.
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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.
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.
by Andrew E. Blechman - University of Toronto
This text helps students fill the gap of knowledge between the QFT courses students take when they start graduate work in theoretical physics, and actual research. The book covers the basics of vitally important techniques used in modern research.