Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Geometry of alternating links on surfaces

Joshua Howie

created by daniele on 19 Mar 2018

21 mar 2018 -- 15:00

Sala Seminari, DM, Pisa

Seminari di Geometria del Dipartimento di Matematica dell'Università di Pisa

Abstract.

We study links in 3-manifolds which have alternating diagrams onto orientable surfaces of positive genus. When the diagram is sufficiently complicated, we are able to obtain topological and geometrical information about the link exterior. In particular, we can tell if the link is hyperbolic and obtain bounds on volume, know whether the checkerboard surfaces are essential or quasi-fuchsian, and rule out exceptional Dehn fillings. Joint work with Jessica Purcell.

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