Work

Properties of minimal charts and their applications XI: No minimal charts with exactly seven white vertices

Year: 2024

Type: article

Abstract: Charts are oriented labeled graphs in a disk. Any simple surface braid (two-dimensional braid) can be described by using a chart. Also, a chart represents an oriented closed surface embedded in 4-space. In this paper, we investigate embedded surfaces in 4-space by using charts. In this paper, we show that there is no minimal chart with exactly seven white vertices.

Source: Journal of Knot Theory and Its Ramifications

DOI: 10.1142/s0218216524500585

Authors: Teruo Nagase, Akiko Shima

Institution: Tokai University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Awards: Research about quande cocycle invariants and chart moves, Research of chart moves by using computer effectively