Transverse fibered knots and Taut Foliations

2025/09/04 by Vidyarthi, Rithwik Susheel
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2509.04680

Abstract

We give a short alternative proof of Honda-Kazec-Matic's result, which states that a fibered knot with pseudo-Anosov monodromy and fractional Dehn twist coefficient ≥1 supports a contact structure that is a perturbation of a taut foliation.

Citations

• Euler class of taut foliations and Dehn filling
• On definite strongly quasipositive links and L-space branched covers
• On the transverse invariant and braid dynamics
• Taut foliations in branched cyclic covers and left-orderable groups
• Berge duals and universally tight contact structures
• Admissible transverse surgery does not preserve tightness
• Fibered Transverse Knots and the Bennequin Bound
• Right-veering diffeomorphisms of compact surfaces with boundary I
• Legendrian and Transversal Knots

Related

• Taut foliations and contact pairs in dimension three
• The knot meridians of (1,1)-knot complements are CTF-detected
• Veering triangulations and transverse foliations
• Essential open book foliation and fractional Dehn twist coefficient
• Taut foliations from knot diagrams