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Stated skein algebras of surfaces

WebPseudo-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 … 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.

Skein Definition & Meaning Dictionary.com

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 … 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 … target black friday 2022 circular https://obiram.com

On Positivity of Kauffman Bracket Skein Algebras of Surfaces

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 … 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. 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. target black floating shelves

arXiv:1609.04987v1 [math.GT] 16 Sep 2016 - ResearchGate

Category:[1602.07402] Skein algebras of surfaces - arxiv.org

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Stated skein algebras of surfaces

Cluster algebras from surfaces - University of Connecticut

WebAug 25, 2024 · The skein algebras and modules have played an important role in low-dimensional topology and quantum topology and they serve as a bridge between classical topology and quantum topology. 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.

Stated skein algebras of surfaces

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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 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 …

WebFeb 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.

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 … 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 ...

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 ...

Webproperties of skein algebras of surfaces: basis, Noetherian domain, Gelfand-Kirillov dimension. We also discuss relations between stated skein algebras and both quantum … target black friday circularWebCluster 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 ... target black friday 2016 toysWebFeb 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 … target black friday cell phone dealsWebWe 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 … target black friday deals in ocWebskein: [noun] a loosely coiled length of yarn or thread wound on a reel. target black friday deals video gamesWebApr 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. target black friday coupons printableWebApr 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 … target black friday deals in store only