Stated skein algebras of surfaces

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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 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.

Skein Definition & Meaning Dictionary.com

Webskein: [noun] a loosely coiled length of yarn or thread wound on a reel. 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. black metal gate fence

Symmetry Free Full-Text Category Algebras and States on …

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 … 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 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. black metal full size headboard

On Positivity of Kauffman Bracket Skein Algebras of 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. 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 ... black metal glass shelfWebApr 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 … garageskateshop.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 … " - Stated skein algebras of surfaces

Stated skein algebras of surfaces

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

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. 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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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 ... 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

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 … WebFeb 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 …

WebJul 26, 2024 · We 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 … 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.

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 … garage sizes australian standardsWebJan 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. garages keyworthWebCluster 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 ... garage sizes car shedsWebSpeaker: 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 … garage size for 1 car in metersWebDec 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 … black metal greatsword selling priceWebThe 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... black metal glass cabinetWebIt 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 ... garages keighley yorkshire