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- Max Planck Institute for Gravitational PhysicsDE46 papers
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4 papers · 2 filters
Torus Knot complements: A natural series for the natural logarithm
Oliver T. Dasbach
Lueck expressed the Gromov norm of a knot complement in terms of an infinite series that can be computed from a presentation of the fundamental group of the knot complement. In thi…
Topological triviality of smoothly knotted surfaces in 4-manifolds
Hee Jung Kim, Daniel Ruberman
Some generalizations and variations of the Fintushel-Stern rim surgery are known to produce smoothly knotted surfaces. We show that if the fundamental groups of their complements a…
The boundary manifold of a complex line arrangement
Daniel C Cohen, Alexander I Suciu
We study the topology of the boundary manifold of a line arrangement in CP^2, with emphasis on the fundamental group G and associated invariants. We determine the Alexander polynom…
The Jones polynomial and graphs on surfaces
Oliver T. Dasbach, David Futer, Efstratia Kalfagianni +2
The Jones polynomial of an alternating link is a certain specialization of the Tutte polynomial of the (planar) checkerboard graph associated to an alternating projection of the li…