Zhenkun Li

collaborators

2 papers

math.GT2025

$S U (2)$ -representations of Branched Covers

Sudipta Ghosh, Zhenkun Li, Juanita Pinzón-Caicedo

We study the existence of irreducible $S U (2)$ -representations for cyclic branched covers of knots in $S^{3}$ . Our main result establishes that if $K$ is a non-trivial prime knot and…

math.GT2023

Knot cobordism, torsion order and framed instanton homology

Sudipta Ghosh, Zhenkun Li

We construct cobordism maps for the \textit{minus} version of instanton knot homology associated to a \textit{specially decorated} knot cobordisms of arbitrary genus between two nu…

SU(2)-representations of Branched Covers

Knot cobordism, torsion order and framed instanton homology

$S U (2)$ -representations of Branched Covers