4 papers
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'…
Virtually special embeddings of integral Lorentzian lattices
Michelle Chu
The automorphism groups of integral Lorentzian lattices act by isometries on hyperbolic space with finite covolume. In the case of reflective integral lattices, the automorphism gr…
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…
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…