Cluster varieties from legendrian knots
WebCluster varieties from legendrian knots. Vivek Shende, David Treumann, Harold Williams, Eric Zaslow. Mathematics; Research output: Contribution to journal › Article › … WebCluster varieties from Legendrian knots. Authors: Shende, Vivek; Treumann, David; Williams, Harold; Zaslow, Eric Award ID(s): 1708503 Publication Date: 2024-10-01 NSF …
Cluster varieties from legendrian knots
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WebOur new approach uses Legendrian weaves, which are more versatile than plabic graphs, and actually builds cluster A-variables from relative cycles, which is stronger than the ab- solute analogue. In particular, we overcome both obstacles above, resolving the regularity WebDec 30, 2015 · Cluster varieties from Legendrian knots Vivek Shende, David Treumann, Harold Williams, Eric Zaslow We show that many interesting spaces -- including all positroid strata and wild character varieties -- are moduli of constructible sheaves on a surface with microsupport in a Legendrian link.
WebCluster varieties from Legendrian knots. Authors: Shende, Vivek; Treumann, David; Williams, Harold; Zaslow, Eric Award ID(s): 1708503 Publication Date: 2024-10-01 NSF-PAR ID: 10191937 Journal Name: Duke Mathematical Journal Volume: 168 Issue: 15 Page Range or eLocation-ID: 2801 to 2871 ISSN: Web10:00{11:00 Examples of cluster varieties from plabic graphs III p.11 Double Bruhat cells of SL n Daping Weng (Michigan State University) ... Basics of Legendrian knots, sheaves …
WebTwo Legendrian knots are equivalent if they are isotopic through a family of Legendrian knots. There can be inequivalent Legendrian knots that are isotopic as topological … WebJan 4, 2024 · Legendrian knots and their Lagrangian fillings: A conspectus on recent developments: Fri: Jan 08: 06:00: Tatsuki Kuwagaki: Symplectic geometry in algebraic analysis IV ... 02:00: Daping Weng: Examples of cluster varieties from plabic graphs IV: Fri: Jan 08: 01:00: Daping Weng: Examples of cluster varieties from plabic graphs III: …
WebApr 19, 2024 · Cluster Algebras Frieze Patterns Legendrian Knot Cluster Variation Chern-Simons Invariants These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves. Download chapter PDF Introduction
WebAbstract: Many interesting spaces --- including all positroid strata and wild character varieties --- are moduli of constructible sheaves on a surface with microsupport in a … health and safety in computerWebStudy algebraic symmetries of cluster algebras, such as the cluster modular group, in terms of symplectic isotopies of Legendrian knots. For instance, understand the many … golfing flying cars narrated articlesWebShende, Treuman, Williams, Zaslow – Cluster varieties from Legendrian knots Shende, Treumann, Williams – On the combinatorics of exact Lagrangian surfaces Casals, … golfing fourWebOct 11, 2024 · Cluster varieties from Legendrian knots. Article. Full-text available. Dec 2015; DUKE MATH J; Vivek Shende; ... We consider Legendrian knots and links in the standard 3-dimensional contact space ... health and safety in digital photographyWebFIGURE 1. On the left, a Legendrian braid satellite whose rank-one moduli space recovers the open positroid stratum in Gr(2, 5). The Legendrian lives in the cocircle bundle of the page; the hairs drawn along the immersed curve indicate the conormal directions of the lift of the projection. On the right, a bipartite graph whose associated alternating Legendrian is … health and safety in construction siteWebWe recover the cluster structures on these spaces from the Floer theory of Lagrangian fillings of these Legendrian links. We also use results in cluster algebra to construct … health and safety induction bookletWebSep 6, 2024 · We use microlocal sheaf theory to show that knots can only have Legendrian isotopic conormal tori if they themselves are isotopic or mirror images. ... Williams, H. and Zaslow, E., ‘Cluster varieties from Legendrian knots’. Duke Mathematical Journal, Preprint, 2015, arXiv:1512.08942, to appear.Google Scholar [STW] Shende, V., … health and safety in construction nz