WebIn the semisimple case, modular tensor categories play an important role in the study of quantum groups, knot and three-manifold invariants, three-dimensional topological quantum field theories and rational conformal field theories. They arose first in the study of rational conformal field theories. In WebThis gives a vast class of knot invariants and 3-manifold invariants as well as a class of linear representations of the mapping class groups of surfaces. In Part II the technique of …

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http://pantodon.jp/index.rb?body=modular_tensor_category WebModular categories and 3-manifold invariants V. Turaev Mathematics 1992 The aim of this paper is to give a concise introduction to the theory of knot invariants and 3 … iowa dhs child abuse hotline

Periodic 3-MANIFOLDS and Modular Categories - Academia.edu

WebOn the algebraic side, the study of 3-dimensional TQFTs has been influenced by the theory of braided categories and the theory of quantum groups.The book is divided into three parts. Part I presents a construction of 3-dimensional TQFTs and 2-dimensional modular functors from so-called modular categories. Web20 mrt. 2024 · Modular Categories. arXiv: 1201.6593. [NTV03] Dmitri Nikshych, Vladimir Turaev, and Leonid Vainerman. “Invariants of knots and 3-manifolds from quantum … WebIn dynamical systems, a branch of mathematics, an invariant manifold is a topological manifold that is invariant under the action of the dynamical system. Examples include … ooze forth crossword clue