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Notes on quantum teichmüller theory

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 … 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 ...

Teichmüller theory

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). 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 … pokelantis https://beyondwordswellness.com

teichmüller theory and the universal period mapping via quantum ...

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, … 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 … 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 … pokelink app

Quantum Teichmüller space from the quantum plane Request PDF

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Notes on quantum teichmüller theory

Towards a modular functor from quantum higher Teichmüller …

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. 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.

Notes on quantum teichmüller theory

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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 … WebJan 31, 2008 · QUANTUM TEICHMÜLLER THEORY AND REPRESENTATIONS OF THE PURE BRAID GROUP. F. Bonahon. Published 31 January 2008. Mathematics. Communications …

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 … 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 …

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. WebSeminar on Teichmueller Theory . Math 290 - Berkeley - Spring 1993 Brief Course Notes .

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

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... pokelan sukuseuraWebSep 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) pokelunaWebThese 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 … pokeloot pixelmonWebquantum 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 pokekyun setWebA 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. pokelinksWebMar 15, 2024 · Peter Kosmol and Dieter Müller-Wichards. Optimization, Convex Optimization, Banach Spaces. Dummy View - NOT TO BE DELETED pokelinkWebInter-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 … pokelink setup