Differential Geometry, Lie Theory and Low-Dimensional Topology, Melbourne, Australia, 2016

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Details of talk

TitleQuasi-Fuchsian checkerboard surfaces
PresenterJoshua Howie (Monash University)
Author(s)Joshua Howie, Jessica Purcell

Weakly generalised alternating knots and links were introduced in the speaker's
PhD thesis. Links in this class have  alternating diagrams on closed orientable
surfaces in the 3-sphere. Several geometric properties of the complements of
planar alternating knots carry over to this new class. In particular, we show
that in many cases where the knot complements are hyperbolic, both the
associated checkerboard surfaces are quasi-Fuchsian.