## Geometry and Topology

•  Ryan Stees, Indiana University
•  Milnor's invariants for knots and links in closed orientable 3-manifolds
•  02/28/2023
•  2:00 PM - 3:00 PM
•  C304 Wells Hall
•  Peter Kilgore Johnson (john8251@msu.edu)

Early in his career, John Milnor defined his seminal link invariants, now called Milnor's $\overline{\mu}$-invariants. They are topological concordance invariants of links in $S^3$, and much is known about them. However, until recently, few results have extended Milnor's work to links in other closed orientable 3-manifolds, and such extensions have done so for special classes of 3-manifolds or specific types of links. In this talk, I will discuss an extension of these invariants to concordance invariants of knots and links in any closed orientable 3-manifold, discuss some theorems that justify calling them Milnor's invariants", and study their properties.

## Contact

Department of Mathematics
Michigan State University