14 citations · 40 across the 11 of their papers we have counts for
11 papers
Hyperbolic models and stability recognition for Coxeter groups
Christopher H. Cashen, Michelle Chu, Jing Tao
Given a finite rank Coxeter system, we construct a hyperbolic space by coning off the wide parabolic subcomplexes of its Davis complex. The resulting space is ``stability recognizi…
Totally geodesic hyperbolic 3-manifolds in hyperbolic link complements of tori in
Michelle Chu, Alan W. Reid
In this paper we prove that certain hyperbolic link complements of -tori in do not contain closed embedded totally geodesic hyperbolic -manifolds.
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'…
Embedding closed hyperbolic 3-manifolds in small volume hyperbolic 4-manifolds
Michelle Chu, Alan W. Reid
In this paper we study existence and lack thereof of closed embedded orientable co-dimension one totally geodesic submanifolds of minimal volume cusped orientable hyperbolic manifo…
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…
Special subgroups of Bianchi groups
Michelle Chu
We determine C-special subgroups of the Bianchi groups of index bounded above by 120 by effectivising the arguments of Agol-Long-Reid. These subgroups are congruence of level 2 or…
Detecting essential surfaces as intersections in the character variety
Michelle Chu
We describe a family of hyperbolic knots whose character variety contain exactly two distinct components of characters of irreducible representations. The intersection points betwe…
Small generators of cocompact arithmetic Fuchsian groups
Michelle Chu, Han Li
In the study of Fuchsian groups, it is a nontrivial problem to determine a set of generators. Using a dynamical approach we construct for any cocompact arithmetic Fuchsian group a…
Stick index of knots and links in the cubic lattice
Colin Adams, Michelle Chu, Thomas Crawford +2
The cubic lattice stick index of a knot type is the least number of sticks necessary to construct the knot type in the 3-dimensional cubic lattice. We present the cubic lattice sti…