Minimal generating set of planar moves for surfaces embedded in the four-space

被引：0

作者：

Jablonowski, Michal ^{[1
]}

机构：

[1] Univ Gdansk, Fac Math, Inst Math Phys & Informat, PL-80308 Gdansk, Poland

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2021年 / 30卷 / 08期

关键词：

Surface bonded link diagrams; marked graph diagrams; surface-link; link with bands; minimal set of moves; trivalent graphs;

D O I：

10.1142/S0218216521500620

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive a minimal generating set of planar moves for diagrams of surfaces embedded in the four-space. These diagrams appear as the bonded classical unlink diagrams.

引用

页数：14

共 41 条

[31] Behind the curve: Generating and analysing nets and tessellations on periodic minimal surfaces in their universal covering space
Pedersen, M. C.
Kirkensgaard, J. J. K.
Hyde, S. T.
ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 2021, 77 : C258 - C258
[32] The space of embedded minimal surfaces of fixed genus in a 3-manifold V; Fixed genus
Colding, Tobias H.
Minicozzi, William P., II
ANNALS OF MATHEMATICS, 2015, 181 (01) : 1 - 153
[33] Quasi-minimal rotational surfaces in pseudo-Euclidean four-dimensional space
Ganchev, Georgi
Milousheva, Velichka
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (10): : 1586 - 1601
[34] The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; Locally simply connected
Colding, TH
Minicozzi, WP
ANNALS OF MATHEMATICS, 2004, 160 (02) : 573 - 615
[35] COMPLETE MINIMAL-SURFACES IN R(3) OF GENUS-ONE AND GENUS-4 PLANAR EMBEDDED ENDS
COSTA, CJ
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 119 (04) : 1279 - 1287
[36] EXPLICIT SOLVING OF THE SYSTEM OF NATURAL PDE'S OF MINIMAL SURFACES IN THE FOUR-DIMENSIONAL EUCLIDEAN SPACE
Ganchev, Georgi
Kanchev, Krasimir
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2014, 67 (05): : 623 - 628
[37] The space of embedded minimal surfaces of fixed genus in a 3-manifold I; Estimates off the axis for disks
Colding, TH
Minicozzi, WP
ANNALS OF MATHEMATICS, 2004, 160 (01) : 27 - 68
[38] The space of embedded minimal surfaces of fixed genus in a 3-manifold II; Multi-valued graphs in disks
Colding, TH
Minicozzi, WP
ANNALS OF MATHEMATICS, 2004, 160 (01) : 69 - 92
[39] COMPACTNESS OF THE SPACE OF EMBEDDED MINIMAL SURFACES WITH FREE BOUNDARY IN THREE-MANIFOLDS WITH NONNEGATIVE RICCI CURVATURE AND CONVEX BOUNDARY
Fraser, Ailana
Li, Martin Man-chun
JOURNAL OF DIFFERENTIAL GEOMETRY, 2014, 96 (02) : 183 - 200
[40] The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz–Minkowski space \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb{L}^3$$\end{document}
Isabel Fernández
Francisco J. López
Rabah Souam
manuscripta mathematica, 2007, 122 (4) : 439 - 463

← 1 2 3 4 5 →