Checkerboard graph monodromies

@article{Baader2017CheckerboardGM,
  title={Checkerboard graph monodromies},
  author={S. Baader and Lukas Lewark and Livio Liechti},
  journal={arXiv: Geometric Topology},
  year={2017}
}
  • S. Baader, Lukas Lewark, Livio Liechti
  • Published 2017
  • Mathematics
  • arXiv: Geometric Topology
  • We associate an open book with any connected plane checkerboard graph, thus providing a common extension of the classes of prime positive braid links and positive fibred arborescent links. As an application, we prove that the link type of a prime positive braid closure is determined by the linking graph associated with that braid. 
    On the genus defect of positive braid knots
    • 1
    • PDF
    Checkerboard graph links and simply laced Dynkin diagrams
    • 1
    • Highly Influenced
    • PDF
    Geometric Braid Groups.
    Well-quasi-order of plane minors and an application to link diagrams
    Lagrangian Skeleta and Plane Curve Singularities
    LAGRANGIAN SKELETA AND PLANE CURVE SINGULARITIES

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 28 REFERENCES
    Positive braids of maximal signature
    • 19
    • PDF
    On reorienting graphs by pushing down maximal vertices
    • 49
    A note on the concordance of fibered knots
    • 16
    • PDF
    Positive braid knots of maximal topological 4-genus
    • 7
    • PDF
    Mapping classes associated to mixed-sign Coxeter graphs
    • 12
    • PDF
    Chord Diagrams and Coxeter Links
    • 18
    • PDF
    Three-Dimensional Link Theory and Invariants of Plane Curve Singularities.
    • 458
    • PDF
    Positive Braids are Visually Prime
    • 32
    Braids, Links, and Mapping Class Groups.
    • 1,833