• 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}
}```
• Published 6 October 2021
• Mathematics
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…
4 Citations
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This is a companion paper to an earlier work of the authors. In this paper, we provide an axiomatic definition of Floer homology for balanced sutured manifolds and prove that the graded Euler

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