Modular categories and 3-manifold invariants

Author: harr

August undefined, 2024

WebKeywords Quantum invariants, Seifert manifolds, modular categories, quantum groups, asymptotic expansions 1 Introduction In 1988 E. Witten [34] proposed new invariants … WebMODULAR FORMS AND QUANTUM INVARIANTS OF 3-MANIFOLDS* M. J Published 1999 Mathematics as a Feynman integral over an infinite dimensional moduli space of G …

Three-manifold invariants derived from conformal field theory and ...

Web1 jan. 2000 · We construct modular categories from Hecke algebras at roots of unity. For a special choice of the framing parameter, we recover the Reshetikhin–Turaev invariants … WebThe 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. This gives a … sadly thresh

Quantum Invariants of Knots and 3-Manifolds

WebThe aim of this paper is to give a concise introduction to the theory of knot invariants and 3-manifold invariants which generalize the Jones polynomial and which may be considered as a mathematical version of the Witten invariants. WebModular Categories and 3-MANIFOLD Invariants Turaev, Vladimir G. The aim of this paper is to give a concise introduction to the theory of knot invariants and 3-manifold … Web1 jun. 1992 · The purpose of this paper is to give a brief review on the author's approach to define 3-manifold invariants using representations of modular groups appearing in … sadly smiling through lyrics

Modular categories and 3-manifold invariants

WebThe 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. This 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. Web1 jun. 1992 · OSTI.GOV Journal Article: Three-manifold invariants derived from conformal field theory and projective representations of modular groups Journal Article: Three …

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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 …

WebVery recently, based on both physical intuition and explicit computations, it was suggested that these 3-manifold invariants display ... Mock Modular Forms and 3-Manifolds - … WebWe construct modular categories from Hecke algebras at roots of unity. For a special choice of the framing parameter, we recover the Reshetikhin-Turaev invariants of …

WebAdd to Calendar 2024-04-13 13:50:00 2024-04-13 14:50:00 Crossed module graded categories and state-sum homotopy invariants of maps Title: Crossed module graded … WebSci-Hub MODULAR CATEGORIES AND 3-MANIFOLD INVARIANTS. International Journal of Modern Physics B, 06(11n12), 1807–1824 10.1142/s0217979292000876 sci …

Web11 apr. 2024 · We prove that semisimple four-dimensional oriented topological field theories lead to stable diffeomorphism invariants and can therefore not distinguish homeomorphic closed oriented smooth four-manifolds and homotopy equivalent simply connected closed oriented smooth four-manifolds.

Web1 sep. 2024 · Physically, it is almost a tautology that the set of all such invariants Z (M, L) should determine a modular category uniquely. Since each 3-manifold M can be … sadly they bar a way to learn linesWebconstruction of 3-dimensional TQFTs and 2-dimensional modular functors from so-called modular categories. This 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 6j-symbols is used to define state sum invariants of 3 ... sadly waffle passing hearingWebModular categories are a well-known source of quantum 3-manifold invariants. In this paper we study structures on modular categories which allow to define refinements of … iservice collection addautomapper