Campuses:

knot

Tuesday, June 18, 2019 - 3:15pm - 4:15pm
Jennifer Schultens (University of California, Davis)
Knots can be distinguished via invariants. Invariants measure different aspects of knottedness. Crossing number, bridge number, tunnel number and unknotting number provide distinct insights. Moreover, the behavior of these invariants under connected sum deserves closer scrutiny.
Monday, June 17, 2019 - 9:00am - 10:00am
Jennifer Schultens (University of California, Davis)
Knots provide a starting point for several branches of lowdimensional topology. Often, lowdimensional topologists are more interested in the complement of a knot than in the knot itself. Several types of invariants allow to distinguish between knots. In addition, a topological criterion for distinguishing different geometric types of knot complements predates and provides an illustration of recent results in the theory of 3-manifolds.
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