Department of Mathematics

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 (

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.



Department of Mathematics
Michigan State University
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