Monthly Archives: December 2009

Knots with small rational genus

I recently uploaded a paper to the arXiv entitled Knots with small rational genus, joint with Cameron Gordon. The genesis of this paper was a couple of nice (and related) talks at Caltech by Matthew Hedden and Jake Rasmussen in … Continue reading

Posted in 3-manifolds, Hyperbolic geometry, Knot theory | Tagged , , , , , , | 2 Comments

FH, T, FLp and all that

I am (update: was) currently (update: but am no longer) in Brisbane for the “New directions in geometric group theory” conference, which has been an entirely enjoyable and educational experience. I got to eat fish and chips, to watch Australia … Continue reading

Posted in Groups, Lie groups, Rigidity | Tagged , , , , , , | Leave a comment

Causal geometry

On page 10 of Besse’s famous book on Einstein manifolds one finds the following quote: It would seem that Riemannian and Lorentzian geometry have much in common: canonical connections, geodesics, curvature tensor, etc. . . . But in fact this … Continue reading

Posted in Geometric structures, Lie groups, Symplectic geometry | Tagged , , , , , , | 2 Comments