2024 The jones polynomial and graphs on surfaces

The jones polynomial and graphs on surfaces

Author: brml

August undefined, 2024

WebWe use normal surface theory to relate the pieces of the JSJ decomposition of the complement to the combinatorics of certain surface spines (state graphs). Since state graphs have previously appeared in the study of Jones polynomials, our method bridges the gap between quantum and geometric knot invariants. WebTHE JONES POLYNOMIAL AND GRAPHS ON SURFACES OLIVER T. DASBACH, DAVID FUTER, EFSTRATIA KALFAGIANNI, XIAO-SONG LIN, AND NEAL W. STOLTZFUS Abstract. …

The Jones polynomial and graphs on surfaces Journal of …

http://pi.math.virginia.edu/~vk6e/GraphPolynomial.pdf gurney sweet potatoes

Jones polynomial - Wikipedia

WebThe Jones polynomial of an alternating link is a certain specialization of the Tutte polynomial of the (planar) checkerboard graph associated to an alternating projection of the link. The Bollobas-Riordan-Tutte polynomial generalizes the Tutte polynomial of planar graphs to graphs that are embedded in closed oriented surfaces of higher genus. WebThis article is about the Tutte polynomial of a graph. For the Tutte polynomial of a matroid, see Matroid. WebAug 16, 2011 · Abstract: This monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot … gurney table

Graphs on Surfaces : Dualities, Polynomials, and Knots ... - eBay

Graphs on surfaces and Khovanov homology - City University …

WebThe Bollobás–Riordan–Tutte polynomial generalizes the Tutte polynomial of graphs to graphs that are embedded in closed oriented surfaces of higher genus. In this paper we … WebThe SL3 Jones polynomial of the trefoil: a case study of q-holonomic sequences, (with C. Koutschan), Advances in Applied Math. 47 (2011) 829–839. 41. The degree of a q-holonomic sequence is a quadratic quasi-polynomial, Electronic J. Combinatorics, 18 (2011) research article P4, 23 pages. boxing 2021 canelo v billy sanders full fightWebalizing the classical Tutte polynomial. Topological duality on surfaces gives rise to a natural duality result for PG, analogous to the duality for the Tutte polynomial of planar graphs. This property is important from the perspective of statistical mechanics, where the Tutte polynomial is known as the partition function of the Potts model. boxing 2021 schedule

"WebOur aim in this paper is to construct a polynomial invariant of cyclic graphs, that is, graphs with cyclic orders at the vertices, or, equivalently, of 2-cell embeddings of graphs into … " - The jones polynomial and graphs on surfaces

The jones polynomial and graphs on surfaces

A POLYNOMIAL INVARIANT OF GRAPHS ON ORIENTABLE …

WebTHE JONES POLYNOMIAL AND GRAPHS ON SURFACES OLIVER T. DASBACH, DAVID FUTER, EFSTRATIA KALFAGIANNI, XIAO-SONG LIN, AND NEAL W. STOLTZFUS Abstract. … WebMay 21, 2006 · The Jones polynomial of an alternating link is a certain specialization of the Tutte polynomial of the (planar) checkerboard graph associated to an alternating …

Did you know?

Webbetween the Tutte polynomial and the Jones polynomial for alternating knots was fruitfully used in [DL04, DL06]. The books [Bol98, Wel93] give a good introduction to the interplay between knots and graphs. There is a version of the Jones polynomial for links in 3-manifolds M that are I-bundles over orientable surfaces: that is, M = S × I. WebEuler characteristic is the Jones polynomial of L. Thus, Khovanov homology can be expressed in terms of ribbon graphs, with generators given by ordered chord diagrams. 57M25, 57M15; 05C10 In memory of Xiao-Song Lin 1 Introduction A ribbon graph is a multi-graph (loops and multiple edges allowed) that is embedded in a surface, such that its ...

WebThe clique polynomial of a graph. 14 Aug. D. Dumas. Convex polygons, complex polynomials, and hyperbolic affine spheres. ... Is the Jones polynomial the same size as the Alexander polynomial? Jacob Rasmussen. Nov. 27. No meeting ... planar Riemann surfaces Constructing a polynomial with given invariants 5. Schottky groups and Teichmüller space WebApr 12, 2024 · Conjugate Product Graphs for Globally Optimal 2D-3D Shape Matching Paul Rötzer · Zorah Laehner · Florian Bernard LP-DIF: Learning Local Pattern-specific Deep Implicit Function for 3D Objects and Scenes Meng Wang · Yushen Liu · Yue Gao · Kanle Shi · Yi Fang · Zhizhong Han HGNet: Learning Hierarchical Geometry from Points, Edges, and …

Webof embedded graphs in M, modulo local relations. An important example of such modules is the Kau man skein algebra of a surface introduced independently by Przyticki [30] and Turaev [35]. It has a simple and combinatorial de nition where the local relations are determined by the Jones polynomial or equivalently the Kau man bracket. WebIn this paper we show that the Jones polynomial of any link can be obtained from the Bollobas-Riordan-Tutte polynomial of a certain oriented ribbon graph associated to a link …

WebWe introduce a polynomial invariant of graphs on surfaces, P G, generalizing the classical Tutte polynomial. Topological duality on surfaces gives rise to a natural duality result for …

WebAuthors: Joanna A. Ellis-Monaghan, Iain Moffatt. Examines the full generalization of duality for embedded graphs, and interactions of this duality with graph polynomials and knot … boxing 2017 wilderWebApr 11, 2024 · 图与组合系列讲座之一百一十九（董峰明）. 报告摘要: The Tutte polynomial is a polynomial in two variables which plays an important role in graph theory. The importance of this polynomial stems from the information it contains about graphs. Its specializations include the chromatic polynomial, flow polynomial, Jones ... boxing 2012 olympicsWebJones polynomial The Kauﬀman bracket and the Jones polynomial [Ka1]. Let L be a link diagram. A-splitting: ... E. Kalfagianni, X.-S. Lin, N. Stoltzfus, The Jones polynomial and graphs on surfaces, Journal of Combinatorial Theory, Ser.B 98(2008) 384–399; preprint math.GT/0605571. boxing 2020 fightsWebJun 28, 2013 · Graphs on Surfaces: Dualities, Polynomials, and Knots offers an accessible and comprehensive treatment of recent developments on generalized duals of graphs on … boxing 2021 fightsWebPseudo-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 … gurney terraceWebApr 12, 2024 · Conjugate Product Graphs for Globally Optimal 2D-3D Shape Matching Paul Rötzer · Zorah Laehner · Florian Bernard LP-DIF: Learning Local Pattern-specific Deep … gurney tenancyhttp://math.ahu.edu.cn/2024/0411/c10776a304790/page.htm boxing 2020 youtube