L-space knots with tunnel number >1 by experiment

Anderson C., Baker K. L., Gao X., Kegel M., Le K., Miller K., ...Daha Fazla

EXPERIMENTAL MATHEMATICS, cilt.32, sa.4, ss.600-614, 2023 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1080/10586458.2021.1980753
  • Dergi Adı: EXPERIMENTAL MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.600-614
  • Anahtar Kelimeler: Braid, L-space knot, asymmetric, SnapPy, FLOER HOMOLOGY, SURGERY
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.