The Chern-Simons invariants for general compact Lie groups

Geometry/topology Seminar

David Duncan (James Madison University, Mathematics)

Monday, November 12, 2018 -
3:15pm to 4:15pm
119 Physics

The Chern-Simons invariants are 3-manifold invariants arising from representations of the fundamental group into a Lie group G. These have been well-studied for G = SU(2), but much less is known about them for more general G. In this talk, I will review the definition of these invariants and discuss results that extend to arbitrary compact G several well-known SU(2)-computations. These extensions all have the flavor of "if you know the invariants for SU(2), then you know the invariants for general compact G". This is joint work with Kevin Fournier.

Last updated: 2018/11/15 - 6:21am