Notes on quantum teichmüller theory
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 … 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 …
Notes on quantum teichmüller theory
Did you know?
WebTeichmüller theory . Math 275 - Harvard University Poincaré on Fuchsian groups Homework . Notes on Teichmüller Theory . Notes on Ergodic Theory ... 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.
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 … 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 …
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 … 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
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.
Webteichmüller theory and the universal period mapping via quantum calculus and the h {12} space on the circle.pdf. shank outWebTeichmüller 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). polymers are made up of unitsWebA 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. polymers at surfaces and interfacesWebSep 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. polymers basel abbreviationWebtwentieth 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. shank painter name originWebApr 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... shankouzidong0318 nifty.comWebI 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 … polymers background images