17 citations · 45 across the 14 of their papers we have counts for
4 papers · 1 filter
Small Dehn surgery and SU(2)
John A. Baldwin, Zhenkun Li, Steven Sivek +1
We prove that the fundamental group of 3-surgery on a nontrivial knot in the 3-sphere always admits an irreducible SU(2)-representation. This answers a question of Kronheimer and M…
SU(2) representations and a large surgery formula
Zhenkun Li, Fan Ye
A knot is called -abundant if it satisfies two conditions: first, for all but finitely many , there exists an irreducible repre…
An enhanced Euler characteristic of sutured instanton homology
Zhenkun Li, Fan Ye
For a balanced sutured manifold , we construct a decomposition of with respect to torsions in , which generalizes the decomposition of $I^\sh…
Instanton Floer homology, sutures, and Euler characteristics
Zhenkun Li, Fan Ye
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 g…