ON HYPERBOLIC L-SPACE KNOTS WITH BRAID INDEX FOUR AND TUNNEL NUMBER TWO

Abstract There are only three known strongly invertible hyperbolic L-space knots with braid index four and tunnel number two. They are t09284 , t10496 and o9_34409 in the SnapPy census. In this paper, we give the first infinite family of strongly invertible hyperbolic L-space knots with braid index four and tunnel number two that includes t10496 and o9_34409 .

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Publication Details

Journal
Bulletin of the Australian Mathematical Society
Published
2026-11-03
DOI
https://doi.org/10.1017/s0004972726102147
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

ON HYPERBOLIC L-SPACE KNOTS WITH BRAID INDEX FOUR AND TUNNEL NUMBER TWO

Masakazu Teragaito
3 links
Bulletin of the Australian Mathematical Society
Geometric and Algebraic Topology
article

ON HYPERBOLIC L-SPACE KNOTS WITH BRAID INDEX FOUR AND TUNNEL NUMBER TWO

Masakazu Teragaito
article en

Abstract

Abstract There are only three known strongly invertible hyperbolic L-space knots with braid index four and tunnel number two. They are t09284 , t10496 and o9_34409 in the SnapPy census. In this paper, we give the first infinite family of strongly invertible hyperbolic L-space knots with braid index four and tunnel number two that includes t10496 and o9_34409 .

Bulletin of the Australian Mathematical Society
Hiroshima University (JP)
Japan Society for the Promotion of Science
Openalex Percentile: Top 62%
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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ON HYPERBOLIC L-SPACE KNOTS WITH BRAID INDEX FOUR AND TUNNEL NUMBER TWO — Masakazu Teragaito · Bulletin of the Australian Mathematical Society (2026) | TGRS Research Map | TGRS