Heegaard diagrams corresponding to Turaev surfaces

被引：4

作者：

Armond, Cody ^{[1
]}

Druivenga, Nathan ^{[1
]}

Kindred, Thomas ^{[1
]}

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2015年 / 24卷 / 04期

关键词：

Knot diagram; state surface; Turaev surface; Heegaard diagram; alternating decomposition; Turaev genus; KHOVANOV HOMOLOGY; JONES POLYNOMIALS; TREE EXPANSION; KNOT; GRAPHS; LINKS;

D O I：

10.1142/S0218216515500261

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a correspondence between Turaev surfaces of link diagrams on S-2 subset of S-3 and special Heegaard diagrams for S-3 adapted to links.

引用

页数：14

共 20 条

[1]

[Anonymous], 1898, Sci. Pap.

[2] The spread and extreme terms of Jones polynomials [J].

Bae, Y ;

Morton, HR .

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2003, 12 (03) :359-373

[3]

Balm Cheryl, 2013, THESIS MICHIGAN STAT

[4]

Champanerkar A., 2014, ARXIV14061945

[5] Graphs on surfaces and Khovanov homology [J].

Champanerkar, Abhijit ;

Kofman, Ilya ;

Stoltzfus, Neal .

ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2007, 7 :1531-1540

[6] Quasi-tree expansion for the Bollobas-Riordan-Tutte polynomial [J].

Champanerkar, Abhijit ;

Kofman, Ilya ;

Stoltzfus, Neal .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2011, 43 :972-984

[7] SPANNING TREES AND KHOVANOV HOMOLOGY [J].

Champanerkar, Abhijit ;

Kofman, Ilya .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 137 (06) :2157-2167

[8] HOMOGENEOUS LINKS [J].

CROMWELL, PR .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1989, 39 :535-552

[9] The Jones polynomial and graphs on surfaces [J].

Dasbach, Oliver T. ;

Futer, David ;

Kalfagianni, Efstratia ;

Lin, Xiao-Song ;

Stoltzfus, Neal W. .

JOURNAL OF COMBINATORIAL THEORY SERIES B, 2008, 98 (02) :384-399

[10] A Turaev surface approach to Khovanov homology [J].

Dasbach, Oliver T. ;

Lowrance, Adam M. .

QUANTUM TOPOLOGY, 2014, 5 (04) :425-486

← 1 2 →