Stable equivalence of bridge positions of a handlebody-knot

DOI10.1142/S0129167X21500932zbMath1481.57014arXiv2012.07310OpenAlexW3201277268MaRDI QIDQ5021439

Makoto Ozawa

Publication date: 13 January 2022

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

Full work available at URL: https://arxiv.org/abs/2012.07310

zbMATH Keywords

stabilizationbridge positionReidemeister movehandlebody-knotstable equivalenceMorse positionknotted trivalent graphMorse isotopy

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15) Knot theory (57K10)

Cites Work

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• On the Stable Equivalence of Plat Representations of Knots and Links
• A New Proof of the Reidemeister-Singer Theorem on Stable Equivalence of Heegaard Splittings
• On stability of Heegaard splittings
• Three-Dimensional Manifolds and Their Heegaard Diagrams
• Bridge and pants complexities of knots

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