BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Stein fillings and SU(2) representations of the fundamental group Sivek, Steven


In recent work, Baldwin and I defined invariants of contact 3-manifolds with boundary in sutured instanton Floer homology. I will sketch the proof of a theorem about these invariants which is analogous to a result of Plamenevskaya in Heegaard Floer homology: if a 4-manifold admits several Stein structures with distinct Chern classes, then the invariants of the induced contact structures on its boundary are linearly independent. As a corollary, we conclude that if a homology sphere Y admits a Stein filling with nonzero first Chern class, then there is a nontrivial representation (\pi_1(Y) \to SU(2)\). This is joint work in progress with John Baldwin.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International