Quantum Invariants of Knots and 3-Manifolds

ISBN-13: 9783110442663 / Angielski / Twarda / 2016 / 608 str.

Vladimir G. Turaev

Opis

The third edition of this monograph provides a systematic treatment of topological quantum field theories in three dimensions, inspired by the discovery of the Jones polynomial of knots, the Witten-Chern-Simons field theory, and the theory of quantum groups. The author, one of the leading experts in the subject, gives a rigorous and self-contained exposition of fundamental algebraic and topological concepts that emerged in this theory.

Recenzje

"Its treatment of modular categories, of modular functors, and of TQFT has stood the test of time and in many ways is still unsurpassed. [...] In the reviewer's opinion, this book continues to be essential reading for anyone who wants to be a quantum topologist." Zentralblatt für Mathematik (review of the second edition)

"It is still the latest and greatest go-to source for information on quantum field theories in three dimensions [...]." Zentralblatt für Mathematik

O autorze

Vladimir G. Turaev, Indiana University, Bloomington, USA.