A note on knots with H(2)-unknotting number one

2010/09/17 by Yuanyuan Bao, Bao, Yuanyuan · 1 citation
Computer Science · Mathematics · #57M25 #57M27 #57M50 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57M25 #msc:57M27 #msc:57M50 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1009.3411

6 pages, 4 figures

arxiv created 2010/09/17 · openalex publication_date 2010/09/17 · arxiv updated 2010/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an obstruction to unknotting a knot by adding a twisted band, derived from Heegaard Floer homology.

Cited by

• H(2)-Unknotting Operation Related to 2-Bridge Links

Related

• Knots with unknotting number one and Heegaard Floer homology
• Unknotting information from Heegaard Floer homology
• Heegaard Floer theory and property P
• Unoriented band surgery on knots and links
• H(2)-Unknotting Operation Related to 2-Bridge Links