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Skein and cluster algebras of marked surfaces

WebbWe generalize the construction of the bangle, band and bracelet bases for cluster algebras from orbifolds to the case where there is only one marked point on the boundary. The first author was partially supported by EPSRC grants EP/N005457/1 and EP/P016014/1. Webb1 apr. 2024 · First published in 1915 by The Home Correspondence School First Clydesdale Press Edition 2024 All rights to any and all materials in copyright owned by the publisher are strictly reserved by the publisher. Clydesdale books may be purchased in bulk at special discounts for sales promotion, corporate...

Skein and cluster algebras of unpunctured surfaces for sp_4

WebbThe moduli space of decorated twisted G-local systems on a marked surface, originally introduced by Fock--Goncharov, is known to have a natural cluster K_2 structure. In … WebbWe work with a mild extension of the skein algebra, to include marked points and arcs with endpoints on the marked points. This algebra includes many of the cluster variables in … dr jestus https://craftedbyconor.com

The geometry of cluster algebras - OU Math

Webbcenter, and the representation theory of the skein algebra. In particular, we show that the skein algebra of non-closed marked surface at any root of 1 is a maximal order. We give … WebbFigure 4.4. The web clusters associated with the flip sequence in Figure 2.3. Here the relevant elementary webs are just overwritten, not meaning the simultaneous crossing. … WebbWe will begin by providing background on cluster algebras from surfaces. Building on the work of Fock and Goncharov [13, 12], and of Gekhtman et al. , Fomin et al. associated a … ramon godoy

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Skein and cluster algebras of marked surfaces

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

Webb[Mu] G. Muller, Skein algebras and cluster algebras of marked surfaces, Preprint arXiv:1204.0020, 2012. To appear in Quantum Topology. [Pr] J. Przytycki, Fundamentals of Kauffman bracket skein ... WebbSnake graphs appear naturally in the theory of cluster algebras. For cluster algebras from surfaces, each cluster variable is given by a formula which is parametrized by the …

Skein and cluster algebras of marked surfaces

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WebbAdvancing research. Creating connections. Webb15 okt. 2024 · We study gradings arising from triangulations of marked bordered 2-dimensional surfaces. We adapt a definition from [10] to define the space of valuation …

WebbSkein and cluster algebras of unpunctured surfaces for $\mathfrak{sp}_4$. 2024-07-19 Osaka Metropolitan University (ONLINE) slide [13] 大阪大学トポロジーセミナー Skein … WebbarXiv:2101.00643v1 [math.GT] 3 Jan 2024 SKEIN AND CLUSTER ALGEBRAS OF MARKED SURFACES WITHOUT PUNCTURES FOR sl3 TSUKASA ISHIBASHI AND WATARU YUASA …

Webb2 juli 2014 · Skein algebras and cluster algebras of marked surfaces G. Muller Mathematics 2012 This paper defines several algebras associated to an oriented … WebbIn this lecture, we will de ne and give a quick overview of some properties of cluster algebra from surfaces. We will follow [Surface-I] and [Surface-II]. 11.1 Bordered …

WebbSKEIN AND CLUSTER ALGEBRAS OF MARKED SURFACES GREG MULLER Abstract. This paper considers several algebras associated to an oriented surface with a nite set of …

Webb3 feb. 2015 · 1.2. Upper cluster algebras. As an application, we study the relationship be-tween cluster algebras and upper cluster algebras. To define a cluster algebra A, one … ramon godinoWebbSkein and cluster algebras of marked surfaces Greg Muller1 Abstract. This paper considers severalalgebras associatedto an oriented surface† with a ˝nite set of marked points on … dr jesuina noronhaWebbThe first is the skein algebra $Sk_q(S)$, which is spanned by links in the surface which are allowed to have endpoints at the marked points, modulo several locally defined relations. … dr jesuino maciel