Juanita Pinz'on-Caicedo

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math.GT2025

Homology cobordism for some Sol manifolds

Tye Lidman, Juanita Pinzón-Caicedo

We show that two 3-manifolds that admit Sol geometry and have first homology group of order 16 are integer homology cobordant if and only if they are homeomorphic.

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…

Homology cobordism for some Sol manifolds

SU(2)-representations of Branched Covers

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