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4:00 pm Monday, August 20, 2012 Topology Seminar: Slice knots which bound Klein bottlesby Arunima Ray (Rice University) in HB 427- We investigate the properties of slice knots which bound Klein bottles, such that the knot has zero linking number with its pushoff, i.e. has zero framing. Our work is motivated by the many results in the literature about slice knots which bound tori. In particular, given a knot K bounding a Klein bottle F with zero framing, we find a curve J on F whose concordance properties reflect those of K - we will prove a stronger result than what is known for knots bounding tori. We can apply this result to show that the (2,p) cabling operator is injective on a certain concordance group of knots.
Submitted by cochran@rice.edu |