- 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.