Properties of minimal charts and their applications V: Charts of type (3,2,2)-Reference-Cited by-同舟云学术

Properties of minimal charts and their applications V: Charts of type (3,2,2)

Published:2019-11-25 Issue:14 Volume:28 Page:1950084
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Nagase Teruo¹,Shima Akiko²^ORCID

Affiliation:

1. Tokai University, 4-1-1 Kitakaname, Hiratuka, Kanagawa, 259-1292 Japan

2. Department of Mathematics, Tokai University, 4-1-1 Kitakaname, Hiratuka, Kanagawa, 259-1292 Japan

Abstract

Let [Formula: see text] be a chart, and we denote by [Formula: see text] the union of all the edges of label [Formula: see text]. A chart [Formula: see text] is of type [Formula: see text] if there exists a label [Formula: see text] such that [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text] where [Formula: see text] is the number of white vertices in [Formula: see text]. In this paper, we prove that there is no minimal chart of type [Formula: see text].

Funder

JSPS KAKENHI

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216519500846

Reference14 articles.

1. SURFACES IN R4 OF BRAID INDEX THREE ARE RIBBON

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1. Properties of minimal charts and their applications IX: charts of type (4,3);Indagationes Mathematicae;2023-07

2. Properties of minimal charts and their applications VIII: Charts of type (7);Journal of Knot Theory and Its Ramifications;2022-03

3. Properties of minimal charts and their applications VII: Charts of type (2,3,2);Topology and its Applications;2020-10