Notes on quantum teichmüller theory

Author: ehak

August undefined, 2024

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. WebSep 28, 2011 · N. Aghaei, M. Pawelkiewicz, M. Yamazaki. Mathematics. 2024. The quantization of the Teichm\"uller theory has led to the formulation of the so-called Teichm\"uller TQFT for 3-manifolds. In this paper we initiate the study of "supersymmetrization" of the…. PDF.

Teichmüller theory in nLab

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 … 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 … earn gift cards for playing games

Introduction to quantum Thurston theory - IOPscience

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) WebNov 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 … 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 ... csw code of conduct

Quantum Teichmüller space from the quantum plane Request PDF

WebJan 31, 2008 · QUANTUM TEICHMÜLLER THEORY AND REPRESENTATIONS OF THE PURE BRAID GROUP. F. Bonahon. Published 31 January 2008. Mathematics. Communications … WebA Ph.D. in modern number theory and about ten years of leading-edge research. Note that the main critic of the theory won the Fields medal, and even he has no counterexample or proof of falsehood. The best he can do is point to one spot in Mochizuki's work that nobody can understand. Everyone has an opinion of someone else's opinion. earn gift cards fast and easyWebOne 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 … csw coe

"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 ... " - Notes on quantum teichmüller theory

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 WebInter-universal Teichmüller theory is a continuation of Mochizuki's previous work in arithmetic geometry. This work, which has been peer-reviewed and well received by the …

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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. 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 …

WebFeb 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 ... 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 …

Webteichmüller theory and the universal period mapping via quantum calculus and the h {12} space on the circle.pdf. WebApr 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...

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).

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. earn gift cards free mypointsWebFor 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, … cswcolpaWebWithin 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 … earn gift cards for receipts csw coatings websiteWebApr 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 … csw cold storageWebMay 17, 2024 · Hence the Riemann moduli space is the orbifold quotient of Teichmüller space by the mapping class group of Σ \Sigma. See (Hubbard-Koch 13). Related … earn gift cards from receiptsWebTeichmüller theory . Math 275 - Harvard University Poincaré on Fuchsian groups Homework . Notes on Teichmüller Theory . Notes on Ergodic Theory ... earn gift cards for watching videos