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4:00 pm Monday, August 23, 2010 TOPOLOGY SEMINAR: Infection and the n-solvable filtrationby Bridget Franklin (Rice Math Dept.) in HB 427- I will discuss the choices involved in an infection operation of a knot and how these choices affects the concordance class of the output knot. In particular, I will give conditions such that nonconcordant knots are produced using identical input knots but varying infection curves. The analysis involves methods using the n-solvable filtration, the Blanchfield linking form, and von-Neumann rho-invariants. Definitions and previous results will be given as an introduction to these techniques.
Submitted by cochran@rice.edu |