Low genus knots in lens spaces
Jacob Rasmussen (University of Cambridge)
Monday 20th October, 2008 16:00-17:00 Mathematics Building, room 214
Let K be a knot in the lens space L(p,q) representing a nontrivial homology class. We say K has low genus if there is an essential surface in the complement of K whose genus is small relative to p. I'll explain how the existence of such knots is related to classical problems like "which L(p,q) are surgery on nontrivial knots in S^3," and "which L(p,q) bound rational homology balls?"