3 papers
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
-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…
math.HO2024
Nudos y Superficies
Yoseth Arciniegas Barreto, Nicol Bermudez Bohorquez, Juanita Pinzón-Caicedo +1
These notes are an introduction to knot theory from the perspective of surfaces. The notes cover fundamental concepts such as isotopies, Reidemeister moves, torus knots, and (orien…