Sudipta Ghosh

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math.GT2025

Framed instanton homology and FrÃ¸yshov's invariant

Sudipta Ghosh, Mike Miller Eismeier

We determine the framed instanton homology with coefficients in $F = Z /2$ for Dehn surgeries on a knot in the $3$ -sphere. The dimension of these groups is seen to h…

math.GT2025

Homology lens spaces and $SL (2, C)$

Sudipta Ghosh, Steven Sivek, Raphael Zentner

We prove that if $Y$ is a closed, oriented 3-manifold with first homology $H_{1} (Y; Z)$ of order less than $5$ , then there is an irreducible representation $Ï_1(Y) \to \math…

math.GT2025

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

Sudipta Ghosh, Zhenkun Li, Juanita PinzÃ³n-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…

Framed instanton homology and FrÃ¸yshov's invariant

Homology lens spaces and SL(2,C)

SU(2)-representations of Branched Covers

Homology lens spaces and $SL (2, C)$

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