50 citations · 405 across the 46 of their papers we have counts for
4 papers · 1 filter
Surgery obstructions and character varieties
Steven Sivek, Raphael Zentner
We provide infinitely many rational homology 3-spheres with weight-one fundamental groups which do not arise from Dehn surgery on knots in . In contrast with previously known…
L-space knots are fibered and strongly quasipositive
John A. Baldwin, Steven Sivek
We give a new, conceptually simpler proof of the fact that knots in with positive L-space surgeries are fibered and strongly quasipositive. Our motivation for doing so is tha…
Instantons and L-space surgeries
John A. Baldwin, Steven Sivek
We prove that instanton L-space knots are fibered and strongly quasipositive. Our proof differs conceptually from proofs of the analogous result in Heegaard Floer homology, and inc…
A menagerie of SU(2)-cyclic 3-manifolds
Steven Sivek, Raphael Zentner
We classify -cyclic and -abelian 3-manifolds, for which every representation of the fundamental group into has cyclic or abelian image respectively, among geo…