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4:00 pm Monday, January 12, 2009 Topology Seminar: Defining a self-linking number for transverse knots in the lens space L(k,1)by Elena Pavelescu in HB 427- For a nullhomologous trasverse knot K in a 3-manifold M we can compute the self-linking number sl(K) by looking at the singularities of the characteristic foliation of a embedded surface S whose boundary is K. The problem is that such surfaces are very hard to find, in general. If the knot is in braid form the situation improves. Bennequin showed how we can determine the self-linking number just from a braid word of K in S3. We will see how we can generalize Bennequin's strategy to transverse knots in L(k,1). This is joint work with Keiko Kawamuro.
Submitted by cochran@rice.edu |