5 edition of **Topological Field Theory** found in the catalog.

- 315 Want to read
- 34 Currently reading

Published
**December 1, 1998**
by Birkhäuser Boston
.

Written in English

- Applied mathematics,
- Theoretical methods,
- Topology - General,
- Mathematics,
- Science,
- Science/Mathematics,
- Quantum Field Theory,
- Waves & Wave Mechanics,
- Mathematics / Algebra / General,
- Mathematics / Topology,
- Science : Waves & Wave Mechanics,
- Quantum Theory,
- Algebraic Topology,
- Congresses,
- Mathematical physics

**Edition Notes**

Contributions | A. Kashiwara (Editor), A. Matsuo (Editor), K. Saito (Editor), I. Satake (Editor) |

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 504 |

ID Numbers | |

Open Library | OL8074603M |

ISBN 10 | 0817639756 |

ISBN 10 | 9780817639754 |

( 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. Introduction to topological quantum field theory | Lawrence R.J. | download | B–OK. Download books for free. Find books.

This paper is reproduced from the book Ludwig Faddeev Memorial Volume: A Life in Mathematical Physics, the Yang–Baxter equation, and the theory of knots and links, in Non-Perturbative Quantum Field Theory, eds. G. ’t Hooft et al., Cargèse (Plenum Press, Werner, Gauge theory of topological phases of matter, EPL () Cited by: 4. 25 Years of Topological Quantum Field Theory Posted on by woit It occurred to me today that right about now is the time someone should have chosen as the date for a celebration of the 25th anniversary of the birth of the idea of “Topological Quantum Field Theory”, as well as some much less well-known ideas about the.

A decade later, Thouless and colleagues again turned to topological arguments in explaining the quantum Hall effect (QHE). Discovered in , the QHE is, like the classical Hall effect, an induced voltage in a current-carrying conductor exposed to a magnetic field. In the quantum case, however, the conductor is confined to two : Michael Schirber. A significant contribution of topology to the fundamental theory of consciousness is the notion of a topological current. When a topological knot, a defect in a set of field lines, cannot be smoothed out, it is prevented from dissipating and in effect behaves like a massless quasi-particle.

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One then has to "deframe" in order to arrive at the usual knot invariants. There is also a distinction to be made between "topological field theory" and "cohomological field theory", the latter computing invariants once a class of metrics (say, fixing the holonomy) has been chosen.

$\endgroup$ – José Figueroa-O'Farrill Jan 4 '10 at Topological Quantum Field Theory and Four Manifolds (Mathematical Physics Studies Book 25) - Kindle edition by Labastida, Jose, Marino, Marcos. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading Topological Quantum Field Theory and Four Manifolds (Mathematical Physics Studies Book 25).Price: $ Anyons may be described in the framework of topological quantum field theory (TQFT), which originates from Witten’s paper on quantum Chern-Simons fields [5] and the work of Moore and Seiberg on conformal field theory [4].

Important mathematical studies in this area were done by Reshetikhin and Turaev [66] and Walker [67]. Monoidal Categories and Topological Field Theory (Progress in Mathematics Book ) - Kindle edition by Turaev, Vladimir, Virelizier, Alexis. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading Monoidal Categories and Topological Field Theory (Progress in Mathematics Book ).Reviews: 1.

In Part 3 the authors define the notion of a topological quantum field theory (TQFT) and construct a Turaev-Viro-type 3-dimensional state sum TQFT from a spherical fusion category.

Lastly, in Part 4 this construction is extended to 3-manifolds with colored ribbon graphs, yielding a so-called graph TQFT (and, consequently, a extended TQFT). Topological Quantum Field Theory and Four Manifolds by JOSE LABASTIDA and MARCOS MARINO.

A C.I.P. Catalogue record for this book is available from the Library of Congress. ISBN (HB) ISBN (e-book) Published by Springer, P.O. AA Dordrecht, The Netherlands. Field Theory, and its mathematical extension, Topological Field Theories. The status of review is necessary to make it clear that one who wants to learn quantum eld theory in a serious way should understand that she/he is not only required to read one book or review.

Rather, it is important. While I am not a huge fan of the book, students seem to love Srednicki's Quantum Field Theory. More recently, Schwartz's Quantum Field Theory and the Standard Model is a great book from my inspection and students seem to enjoy it, though I've n.

This book centers around the theory of primitive forms which currently plays an active and key role in topological field theory (theoretical physics), but was originally developed as a mathematical notion to define a "good period mapping" for a family of analytic structures.

Topological field theories are discussed and this chapter provides some concrete examples of applications of these ideas by discussing anyons, fractional statistics and Chern–Simons theories. Keywords: topological field theory, anyons, fractional statistics, Chern–Simons theoryAuthor: Tom Lancaster.

A topological quantum field theory is a quantum field theory which – as a functorial quantum field theory – is a functor on a flavor of the (∞,n)-category of cobordisms Bord n S Bord_n^S, where the n-morphisms are cobordisms without any non-topological further structure S S – for instance no Riemannian metric structure – but possibly.

Introduction to Quantum Field Theory by Marina von Steinkirch. This book is divided into two parts. The first part is the old-school way of learning quantum field theory. The second part is dedicated to Topological Field Theories. The recent discovery of triply degenerate points (TDPs) in topological materials has opened a new perspective toward the realization of novel quasiparticles without counterparts in quantum field.

Topological invariants and their applications to a variety of systems from one-dimensional polyacetalene, to two-dimensional quantum spin Hall effect and p-wave superconductors, and three-dimensional topological insulators and superconductors or superfluids are introduced, helping readers to better understand this fascinating new field.

Read online Five lectures on Topological Field Theory book pdf free download link book now. All books are in clear copy here, and all files are secure so don't worry about it. This site is like a library, you could find million book here by using search box in the header. this argument fails to consider a space-time with interesting topology.

Get this from a library. Monoidal categories and topological field theory. [V G Turaev; Alexis Virelizier] -- This monograph is devoted to monoidal categories and their connections with 3-dimensional topological field theories.

Starting with basic definitions, it proceeds to the forefront of current. The most physically relevant field theories — gauge theory on principal bundles, gravitation theory on natural bundles, theory of spinor fields and topological field theory — are presented in a complete way.

This book is designed for theoreticians and mathematical physicists specializing in. The book by Zee, Quantum Field Theory in a Nutshell, is good for someone with background on gravity and condense matter, but will mess up the beginner's mind with bombarding of variety of topic.

I personally suggest, Ashok Das, Ryder, and Mandel & Shaw. Introduction to Quantum Field Theory by Marina von Steinkirch.

This book is divided into two parts. The first part is the old-school way of learning quantum field theory. The second part is dedicated to Topological Field Theories. Topics covered includes: Spin Zero, Fields with Spin, Non-Abelian Field Theories, Quantum Electrodynamics.

The book is of interest to researchers and students studying topological field theory, monoidal categories, Hopf algebras and Hopf monads. Keywords monoidal categories Hopf algebras Hopf monads 3-manifold invariants topological quantum field theory state sums.

ISBN: OCLC Number: Description: pages: illustrations ; 25 cm. Contents: Table of Contents Editorial Combinatorial Formulas for Cohomology of spaces of Knots V. Vassiliev On the Homology of Spaces of Long Knots; V.

Tourtchine Some computations of Ohtsuki series: N. Jacoby and R. Lawrence From 3-moves to .Lectures on topological quantum field theory. In book: Trends in Theoretical Physics, Publisher: The American Institute of Physics, New York, Editors: H.

Falomir, R.E. Gamboa Saravi, F.A.It moves on to explain topological phases of matter such as Chern insulators, two- and three-dimensional topological insulators, and Majorana p-wave wires.

Additionally, the book covers zero modes on vortices in topological superconductors, time-reversal topological superconductors, and topological responses/field theory and topological indices.