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math.GT2020
Prescribed virtual homological torsion of 3-manifolds
Michelle Chu, Daniel Groves
We prove that given any finite abelian group and any irreducible -manifold with empty or toroidal boundary which is not a graph manifold there exists a finite cover $M'…
math.GT2019
A hyperbolic counterpart to Rokhlin's cobordism theorem
Michelle Chu, Alexander Kolpakov
The purpose of the present paper is to prove existence of super-exponentially many compact orientable hyperbolic arithmetic -manifolds that are geometric boundaries of compact o…
math.GT2018
Reflections on trisection genus
Michelle Chu, Stephan Tillmann
The Heegaard genus of a 3-manifold, as well as the growth of Heegaard genus in its finite sheeted cover spaces, has extensively been studied in terms of algebraic, geometric and to…