4 papers
-representations of Branched Covers
Sudipta Ghosh, Zhenkun Li, Juanita Pinzón-Caicedo
We study the existence of irreducible -representations for cyclic branched covers of knots in . Our main result establishes that if is a non-trivial prime knot and…
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…
Decomposing sutured monopole and Instanton Floer homologies
Sudipta Ghosh, Zhenkun Li
In this paper, we generalize the work of the second author and prove a grading shifting property, in sutured monopole and instanton Floer theories, for general balanced sutured man…
On the tau invariants in instanton and monopole Floer theories
Sudipta Ghosh, Zhenkun Li, C. -M. Michael Wong
We unify two existing approaches to the tau invariants in instanton and monopole Floer theories, by identifying , defined by the second author via the minus flavors…