• Corpus ID: 238408094

Small Dehn surgery and SU(2)

@inproceedings{Baldwin2021SmallDS,
  title={Small Dehn surgery and SU(2)},
  author={John A. Baldwin and Zhenkun Li and Steven Sivek and Fan Ye},
  year={2021}
}
We prove that the fundamental group of 3-surgery on a nontrivial knot in S always admits an irreducible SU(2)-representation. This answers a question of Kronheimer and Mrowka dating from their work on the Property P conjecture. An important ingredient in our proof is a relationship between instanton Floer homology and the symplectic Floer homology of genus-2 surface diffeomorphisms, due to Ivan Smith. We use similar arguments at the end to extend our main result to infinitely many surgery… 

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