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Notes on quantum teichmüller theory

WebFor several decades, Teichmüller theory has been one of the most active research areas in mathematics, with a very wide range of points of view, including Riemann surface theory, … WebJun 14, 2014 · By using quantum Teichmüller theory, we construct a one parameter family of TQFTs on the categroid of admissible leveled shaped 3-manifolds. Download to read …

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WebJan 29, 2004 · We study monodromy representations of the Teichmüller groupoid for the moduli space of pointed compact Riemann surfaces of any genus with first-order infinitesimal structure. WebDec 6, 2012 · This book offers an easy and compact access to the theory of Teichmüller spaces, starting from the most elementary aspects to the most recent developments, e.g. the role this theory plays with regard to string theory. Teichmüller spaces give parametrization of all the complex structures on a given Riemann surface. This subject is … china pacifier chain suppliers https://itshexstudios.com

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Comments: Slightly rewritten; appendix omitted; section added on the … WebLecture 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. WebAug 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. grambling orchesis

An Introduction to Teichmüller Spaces - Google Books

Category:Quantum trilogy: discrete Toda, Y-system and chaos - IOPscience

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Notes on quantum teichmüller theory

Lecture Notes on Quantum Teichmuller Theory – arXiv Vanity

Webquantum field theory, theoretical physics, and there are certainly others. Of course, the impacts on these various fields are not equally important, but in some cases (namely, low-dimensional topology, algebraic geometry, and physics) the impact was crucial. At the same time, Teichmiiller theory established important connections between the 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)

Notes on quantum teichmüller theory

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WebJan 4, 2024 · Discrete Toda theory is a natural generalization whose semiclassical holographic dual (in the large central charge) contains particles with spin greater than 2, which is of interest in view of the recent constraints on such theories from causality [ 33] and quantum chaos [ 30, 34 ]. WebOct 1, 2013 · The original work of [AK1] corresponds to the choice N = 1, and emerged as an extension to a 3-dimensional theory of the representations one obtains from Quantum Teichmüller Theory [K3]. In ...

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... WebI have always thought of Teichmüller theory as one of those new life-forms that sprang from the ever so fertile imagination of Alexander Grothendieck in the years of his self-imposed …

WebTeichmüller 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). 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 …

WebJun 14, 2014 · By using quantum Teichmüller theory, we construct a one parameter family of TQFTs on the categroid of admissible leveled shaped 3-manifolds. Download to read the full article text References Andersen J.E.: The Witten–Reshetikhin–Turaev invariant of finite oder mapping tori I, Aarhus University preprint 1995.

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 … grambling orchesis videoWebFeb 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 ... grambling orchesis youtubeWebOne 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 … china pacifier box manufacturerschina-pacific island countriesWebApr 7, 2024 · After eight years of debate, Japanese mathematician Shinichi Mochizuki has found a publisher for his mammoth undertaking—the inter-universal Teichmüller theory (IUT). As part of the 600-page... china pacifier box factoriesWebThese 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 … grambling picturesWebNov 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 … china packages to miami