Year: 2021
Type: article
Abstract: In Dunfield’s catalog of the hyperbolic manifolds in the SnapPy census which are complements of L-space knots in S, we determine that 22 have tunnel number 2 while the remaining all have tunnel number 1. Notably, these 22 manifolds contain 9 asymmetric L-space knot complements. Furthermore, using SnapPy and KLO we find presentations of these 22 knots as closures of positive braids that realize the Morton-Franks-Williams bound on braid index. The smallest of these has genus 12 and braid index 4.
Source: Experimental Mathematics
Authors: Chris Anderson, Kenneth L. Baker, Xinghua Gao, Marc Kegel, Khanh Le, Kyle Miller, Sinem Onaran, Geoffrey Sangston, Samuel Tripp, Adam Wood, Ana Wright
Institutions: University of Miami, University of Illinois Urbana-Champaign, Humboldt-Universität zu Berlin, Temple University, University of California, Berkeley, Hacettepe University, University of Maryland, College Park, Dartmouth College, The University of Melbourne, University of Nebraska–Lincoln
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4386655963