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4:00 pm Monday, February 10, 2014 Topology Seminar: Non-simple genus minimizers in lens spacesby Joshua Greene (Boston College)- When does a knot in a 3-manifold have the smallest genus amongst all knots homologous to it? This is a basic question, and addressing it for lens spaces is closely connected to the Berge conjecture, which posits when surgery along a knot in the three-sphere can produce a lens space. I will elaborate on and motivate the stated question, and then I will describe how *not* to prove the Berge conjecture, by producing some new examples of low-genus knots in lens spaces. This is joint work with Yi Ni.
Submitted by Ahm6@rice.edu |