The Markov theorems for spatial graphs and handlebody-knots with Y-orientations

DOI10.1142/S0129167X15501165zbMath1337.57004MaRDI QIDQ3467625

Atsushi Ishii

Publication date: 4 February 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

spatial graphhandlebody-linkAlexander TheoremBraidMarkov Theorem

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15) Directed graphs (digraphs), tournaments (05C20)

Related Items (10)

Handlebody-knots and development of quandle theory ⋮ Two homologies for handlebody-knots ⋮ A multiple group rack and oriented spatial surfaces ⋮ Niebrzydowski algebras and trivalent spatial graphs ⋮ The Gordian distance of handlebody-knots and Alexander biquandle colorings ⋮ Alexander- and Markov-type theorems for virtual trivalent braids ⋮ Partially multiplicative biquandles and handlebody-knots ⋮ The tunnel number and the cutting number with constituent handlebody-knots ⋮ Biquandle (co)homology and handlebody-links ⋮ Linear extensions of multiple conjugation quandles and MCQ Alexander pairs

Cites Work

• Linking numbers for handlebody-links
• A \(G\)-family of quandles and handlebody-knots
• Inequivalent genus 2 handlebodies in \(S^ 3\) with homeomorphic complement
• On linear graphs in 3-sphere
• INVARIANTS OF HANDLEBODY-KNOTS VIA YOKOTA'S INVARIANTS
• Quandle Cocycle Invariants for Spatial Graphs and Knotted Handlebodies
• Handlebody-knot invariants derived from unimodular Hopf algebras
• SYMMETRIC QUANDLE COLORINGS FOR SPATIAL GRAPHS AND HANDLEBODY-LINKS
• COLORING INVARIANTS OF SPATIAL GRAPHS
• Qualgebras and knotted 3-valent graphs

This page was built for publication: The Markov theorems for spatial graphs and handlebody-knots with Y-orientations