Notes on quantum teichmüller theory

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August undefined, 2024

WebThese notes are based on a lecture course by L. Chekhov held at the University of Manchester in May 2006 and February-March 2007. They are divulgative in character, and … WebJan 1, 2013 · Teichmüller theory is a ramified and rapidly developing area of mathematics which has multiple connections with other directions in the mathematical sciences and …

Quantum Fields And Strings A Course For Mathematicians Pdf …

WebWithin 4 hours it appeared to be possible to address only half of the theory known as quantum Teichmüller theory. The outcome of that part is a construction of unitary … Web[BIMSA-Tsinghua Quantum Symmetry Seminar] Entangling quantum information theo... 求真书院. Abstract: One of the most fundamental questions in quantum information concerns with the amount of information that can be transmitted reliably through a quantum channel. For that, many capacities an helmut montag

Introduction to quantum Thurston theory - IOPscience

Comments: Slightly rewritten; appendix omitted; section added on the … Webtwentieth century, general relativity and quantum field theory. This is a course-tested comprehensive introductory graduate text on superstrings which stresses the most current areas of interest, not covered in other presentation, including: string field theory, multi loops, Teichmueller spaces, conformal field theory, and four-dimensional strings. helmut moll

Lecture Notes on Quantum Teichmuller Theory – arXiv Vanity

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WebBerkeley { Tokyo Workshop on Quantum Field Theory and Subfactors November 18, 2016 18 / 19. Thanks for listening! Gus Schrader (UC Berkeley) Quantum higher Teichmuller theory ... Towards a modular functor from quantum higher Teichmüller theory Author: Gus Schrader Created Date: 11/18/2016 5:51:02 PM ... WebDec 31, 2003 · This is a survey of the theory of quantum Teichmüller and Thurston spaces. The Thurston (or train track) theory is described and quantized using the quantization of coordinates for Teichmüller spaces of Riemann surfaces with holes. These surfaces admit a description by means of the fat graph construction proposed by Penner and Fock. helmut molterWebAug 26, 2004 · Journal of Knot Theory and Its Ramifications We consider the quantum Teichmuller space of the punctured surface introduced by Chekhov–Fock–Kashaev, and formalize it as a noncommutative deformation of the space of algebraic functions on the Teichmuller space of the surface. helmut mohr essen

"WebAbstract: By using quantum Teichmüller theory, we construct a one parameter family of TQFTs on the categroid of admissible leveled shaped 3-manifolds. 1. Introduction … " - Notes on quantum teichmüller theory

Notes on quantum teichmüller theory

WebLecture Notes on Quantum Teichmüller theory. 1. Combinatorial description of Teichmüller spaces. In this lecture we concentrate on the Teichmüller space T s g of... 2. Coordinates … WebApr 13, 2024 · The quest to understand quantum mechanics has led to remarkable technological advancements, granting us power and control over the natural world. However, despite these successes, the paradoxes and mysteries surrounding the theory continue to challenge our understanding of reality. This raises the question of whether science, …

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WebIntroduction to Teichmu¨ller Theory Michael Kapovich August 31, 2008 1 Introduction This set of notes contains basic material on Riemann surfaces, Teichmu¨ller spaces and … WebApr 6, 2024 · We also show that the quantum Teichmüller space of a marked surface, defined by Chekhov–Fock (and Kashaev) in an abstract way, can be realized as a concrete …

WebTeichmüller theory . Math 275 - Harvard University Poincaré on Fuchsian groups Homework . Notes on Teichmüller Theory . Notes on Ergodic Theory ... WebSep 28, 2011 · A TQFT from quantum Teichmüller theory. Jørgen Ellegaard Andersen, Rinat Kashaev. By using quantum Teichmüller theory, we construct a one parameter family of …

WebNote: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval). ... Julien "Factorization rules in quantum Teichmüller theory" Algebraic and Geometric Topology, v.13 ... WebSep 28, 2011 · A TQFT from quantum Teichmüller theory Jørgen Ellegaard Andersen, Rinat Kashaev By using quantum Teichmüller theory, we construct a one parameter family of TQFT's on the categroid of admissible leveled shaped 3-manifolds. Submission history From: Rinat Kashaev [ view email ] [v1] Wed, 28 Sep 2011 18:49:49 UTC (37 KB)

WebNotes Teichmüller spaces, quadratic differentials, and cluster coordinates-Dylan ALLEGRETTI, YMSC (2024-11-29) Abstract: In the late 1980s, Nigel Hitchin and Michael Wolf independently...

WebConceptual Foundations of Quantum Field Theory by Tian Yu Cao (English) Paperbac. Sponsored. $64.62 + $14.73 shipping. Conceptual Basis of Quantum Mechanics Undergraduate Lecture Note. $73.99. Free shipping. ... Notes - Delivery *Estimated delivery dates include seller's handling time, origin ZIP Code, destination ZIP Code and time of ... helmut nanz stuttgartWebLecture Notes on Quantum Teichmüller theory. Leonid Chekhov. Abstract. These notes are based on a lecture course by L. Chekhov held at the University of Manchester in May 2006 and February-March 2007. They are divulgative in character, and instead of containing rigorous mathematical proofs, they illustrate statements giving an intuitive insight. helmut mollyWebJan 31, 2008 · QUANTUM TEICHMÜLLER THEORY AND REPRESENTATIONS OF THE PURE BRAID GROUP. F. Bonahon. Published 31 January 2008. Mathematics. Communications … helmut muckerWebFeb 1, 2012 · The resulting intertwiner T is called the quantum mutation operator in the theory of quantum higher Teichmüller theory, and it is a generalization of the earlier work by Frenkel-Kim [12] in the ... helmut monkemeyerWebTeichmüller theory is the ever-expanding manual to this unique feature of mathematics. I'll indicate its broad lines in the next few paragraphs. The primary focus of Teichmüller theory is Riemann surfaces of finite topological type, thus surfaces with g handles, m punctures, and n holes, for some triple of non-negative integers (g,m,n). helmut munz rotaryWebNov 12, 2013 · This text is an expanded version of the lecture notes of a minicourse (with the same title of this text) delivered by the authors in the Bedlewo school "Modern Dynamics and its Interaction with Analysis, Geometry and Number Theory" (from 4 to 16 July, 2011). In the first part of this text, i.e., from Sections 1 to 5, we discuss the Teichmüller and moduli … helmut navratilWebOne could probably argue that Quantum Darwinism is, like quantum decoherence, a theory that any interpretation of quantum mechanics can in principle use. But it certainly is, or … helmut murauer