Stated skein algebras of surfaces

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August undefined, 2024

WebSkein definition, a length of yarn or thread wound on a reel or swift preparatory for use in manufacturing. See more. WebWe study the algebraic and geometric properties of stated skein algebras of surfaces with punctured boundary. We prove that the skein algebra of the bigon is isomorphic to the …

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Webskein: [noun] a loosely coiled length of yarn or thread wound on a reel. WebCluster algebras The de nition of cluster algebras is elementary, but quite complicated. We describe it in this rst section. Since these notes are aiming for cluster alge-bras from surfaces, we do not present the most general de nition of cluster algebras, but restrict ourselves to so-called skew-symmetric cluster algebras with principal coe ... ternuu

(Joint with the Geometry & Topology Seminar) Skein algebras and ...

WebWe study the algebraic and geometric properties of stated skein algebras of surfaces with punctured boundary. We prove that the skein algebra of the bigon is isomorphic to the … WebDec 24, 2016 · The skein algebras were introduced by Przyticki and independently Turaev in an attempt to generalize the Jones polynomial to links in general three-manifolds, and … WebIt is natural now to study the stated skein algebra of an ideal triangle Tas every repre- ... Skein algebras of surfaces, preprint arXiv:1602.07402, 2016. [SW] A. Sikora and B.W. Westbury ... teroson 8590 купить

Symmetry Free Full-Text Category Algebras and States on …

WebWe study the algebraic and geometric properties of stated skein algebras of surfaces with punctured bounda.ry We prove that the skein algebra of the bigon is iso- morphic to the … WebMay 9, 2024 · We extend some results of Bonahon, Bullock, Turaev and Wong concerning the skein algebras of closed surfaces to L^e's stated skein algebra associated to open surfaces. We prove that the stated skein algebra with deforming parameter +1 embeds canonically into the centers of the stated skein algebras whose deforming parameter is … robin men\u0027s jeansWebPseudo-Anosovs of interval type Ethan FARBER, Boston College (2024-04-17) A pseudo-Anosov (pA) is a homeomorphism of a compact connected surface S that, away from a finite set of points, acts locally as a linear map with one expanding and one contracting eigendirection. Ubiquitous yet mysterious, pAs have fascinated low-dimensional … robin jeans swimwear

"WebAbstract: The skein algebra of a surface is spanned by links in the thickened surface subject to skein relations. A finer version of the skein algebra, called the stated skein algebra, was introduced by Thang Le and is compatible with the cutting and gluing of surfaces. " - Stated skein algebras of surfaces

Stated skein algebras of surfaces

STATED SKEIN MODULES OF MARKED 3-MANIFOLDS/SURFACES, …

WebThe skein algebra is easy to define but hard to study directly, using only the diagrammatic definition. By passing to a finer version of the skein algebra, called the stated skein algebra, which is compatible with the cutting and gluing of surfaces, we can use quantum groups to study skein algebras and vice versa. WebWe show that the SL_n skein algebra of a surface also has a quantum trace map, which for n=2 is the Bonahon-Wong quantum trace map. The SL_n quantum trace map is constructed via the splitting homomorphism for the stated SL_n skein algebra, developed in joint work with A. Sikora. The Zoom information is listed below: Topic: GW Topology Seminar

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WebApr 6, 2024 · We survey some old and new results about the stated skein modules of marked 3-manifolds and skein algebras of surfaces. Kauffman bracket skein modules for … WebAug 18, 2024 · The Kauffman bracket skein algebra is an important object in both classical and quantum topology as it has relations to the character variety, the Teichmüller space, the Jones polynomial, and the Witten-Reshetikhin-Turaev Topological Quantum Field Theories.

WebAbstract. We give a survey of some old and new results about the stated skein modules/algebras of 3-manifolds/surfaces. For generic quantum parameter, we discuss the splitting homomorphism for the 3-manifold case, general structures of the stated skein algebras of marked surfaces (or bordered punctured surfaces) and their embeddings into ... WebApr 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 subalgebra of the skew field of the skein algebra. Keywords Kauffman bracket skein module quantum Teichmüller space quantum trace map MSC classification

WebFeb 1, 2024 · F. Costantino, T. Le Stated Skein algebras of surfaces Received 29 July 2024; accepted 26 October 2024. M. Cossarini, S. Sabourau Minimal area of Finsler disks with minimizing geodesics Received 1 October 2024; accepted 27 February 2024. WebSpeaker: Francis Bonahon, MSU Title: The quantum trace for skein algebras of surfaces (continued) Date: 02/27/2024 Time: 4:00 PM - 4:30 PM Place: C204A Wells Hall Contact: Michael Shapiro ([email protected]) I will discuss the technical details of the construction of the quantum trace homomorphism, going from the SL_2-skein algebra to the quantum …

WebThe purpose of this paper is to build a new bridge between category theory and a generalized probability theory known as noncommutative probability or quantum probability, which was originated as a mathematical framework for quantum theory, in terms of states as linear functional defined on category algebras. We clarify that category algebras can …

WebJul 13, 2024 · Stated skein algebras of surfaces July 2024 Journal of the European Mathematical Society Authors: Francesco Costantino Thang Le Georgia Institute of … terokee sauceWebFeb 24, 2016 · Skein algebras of surfaces. We show that the Kauffman bracket skein algebra of any oriented surface F (possibly with marked points in its boundary) has no zero … robin savilleWebJul 4, 2024 · François Costantino, Stated skein algebras of surfaces. (Joint work with Thang Le) After providing the definition of stated skein algebras and surfaces and discussing their relations with standard skein algebras, I will state a result detailing their algebraic behavior under topological operations. This, together with the identification of the ... robin rodiniWebJul 26, 2024 · The stated skein algebra of a punctured bordered surface (or equivalently, a marked surface) is a generalization of the well-known Kauffman bracket skein algebra of … teroka maksudWebJan 10, 2024 · The stated skein algebra considered here involves tangles which may end on the boundary of the surface, and is a quotient of a different, larger, stated skein algebra originally considered by Bonahon and Wong. In this paper we study the stated skein modules of marked 3- manifolds. ternimaitobisnesWebNov 23, 2024 · The SL (3) skein algebra of a surface is spanned by isotopy classes of Kuperberg's webs in the thickened surface. The product in the skein algebra is given by the superposition of webs. In this talk, we will explore the relationship between these skein algebras and the quantum group associated to SL (3). tero kuuselaWebThe stated skein algebra of a punctured bordered surface (or equivalently, a marked surface) is a generalization of the well-known Kauffman bracket skein algebra of unmarked surfaces... robin od postara