Stated skein algebras of surfaces

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August undefined, 2024

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 … Webproperties of skein algebras of surfaces: basis, Noetherian domain, Gelfand-Kirillov dimension. We also discuss relations between stated skein algebras and both quantum …

Stated skein algebras of surfaces - arxiv-vanity.com

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 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 ... df -t command

STATED SKEIN MODULES OF MARKED 3 …

WebNov 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). 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 … 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. chuwi freebook レビュー

Stated skein algebras of surfaces EMS Press

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WebThe 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... WebSkein definition, a length of yarn or thread wound on a reel or swift preparatory for use in manufacturing. See more. chuwi freebook celeron n5100 wifi6 13.5インチWebJul 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 … chuwi freebook 分解

"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 … " - Stated skein algebras of surfaces

Stated skein algebras of surfaces

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

WebApr 25, 2024 · In this paper we study the skein algebras of marked surfaces and the skein modules of marked 3-manifolds. Muller showed that skein algebras of totally marked surfaces may be embedded in easy to study algebras known as quantum tori. We first extend Muller's result to permit marked surfaces with unmarked boundary components. WebThe 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 …

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WebJul 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 ... 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 …

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. WebJan 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.

WebMar 15, 2024 · It is an analogue of the SL2 skein algebra, which is spanned by diagrams of curves on the surface subject to the Kauffman bracket skein relations. Results of Bonahon and Wong in the SL2 case hint at the structure of the higher rank skein algebras, and Le's notion of a stated skein algebra appears to be a promising tool for describing this ...

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 ...

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. dft computer storedavao cityWebWe 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 dft comms teamWebMay 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 … chuwi gbox pro driverWebWe 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 … dft concessionary travel guidanceWebPseudo-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 … df -t command in linuxWebFeb 24, 2016 · Skein algebras of surfaces Jozef H. Przytycki, Adam S. Sikora We show that the Kauffman bracket skein algebra of any oriented surface F (possibly with marked points in its boundary) has no zero divisors and that its center is generated by knots parallel to the unmarked components of the boundary of F. dft concessionary travelWebskein: [noun] a loosely coiled length of yarn or thread wound on a reel. dft concepts