Notes on quantum teichmüller theory
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 … 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
Notes on quantum teichmüller theory
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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 … 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.
WebMay 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 … 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 …
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 ]. 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 …
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, …
WebTeichmüller theory . Math 275 - Harvard University Poincaré on Fuchsian groups Homework . Notes on Teichmüller Theory . Notes on Ergodic Theory ... small girls wearing dressesWebteichmüller theory and the universal period mapping via quantum calculus and the h {12} space on the circle.pdf. songs with cats in lyricsWebBerkeley { 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 ... small girls hair clipsWebJun 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 … small girly businessesWebDec 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. small girls purse patternWebLecture 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 … small girls room ideasWebApr 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... songs with cats in it