Dr. M. Nagel (McMaster)

Triple linking numbers and surface systems

Abstract: We relate fillability of two link exteriors, and the question when two links admit homeomorphic surface systems to (a refinement of) Milnor's triple linking numbers. This extends a theorem of Davis-Roth to include also links with non-vanishing linking numbers. This is joint work with C. Davis, P. Orson, and M. Powell.