DOI: 10.1017/s0004972726102147 ISSN: 0004-9727

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

MASAKAZU TERAGAITO

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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