Joint UGA-GT Topology Seminar at GT: Homotopy invariants of homology cobordism and knot concordance

Geometry Topology Seminar
Monday, February 10, 2020 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Kent Orr – Indiana University
Caitlin Leverson
Modern homotopy invariants of links derive from Gauss’ work on linking numbers.  Many modern examples have arisen following Milnor’s early work.  I will define and investigate a `universal' homotopy invariant of homology cobordism classes of orientable 3-manifolds.  Time permitting (unlikely,) the resulting equivalence classes yield further invariants using filtrations, and classical and von Neumann signatures.  Primary focus will be given to defining these
invariants, and the tools essential to their definition.