activity
20062022
most citedMinimum volume cusped hyperbolic three-manifolds

6 citations · 17 across the 7 of their papers we have counts for

collaborators

7 papers

math.MG2022★ 1 cited

Functional dimension of feedforward ReLU neural networks

J. Elisenda Grigsby, Kathryn Lindsey, Robert Meyerhoff +1

It is well-known that the parameterized family of functions representable by fully-connected feedforward neural networks with ReLU activation function is precisely the class of pie…

math.GT2021★ 5 cited

Hyperbolic 3-manifolds of low cusp volume

David Gabai, Robert Haraway, Robert Meyerhoff +2

We classify the complete hyperbolic 3-manifolds admitting a maximal cusp of volume at most 2.62. We use this to show that the figure-8 knot complement is the unique 1-cusped hyperb…

math.GT2018

The Two Eyes Lemma: a linking problem for horoball necklaces

David Gabai, Robert Meyerhoff, Andrew Yarmola

In the course of our work on low-volume hyperbolic 3-manifolds, we came upon a linking problem for horoball necklaces in . A horoball necklace is a collection of sequ…

math.GT2009

Mom technology and hyperbolic 3-manifolds

David Gabai, Robert Meyerhoff, Peter Milley

This is an expository paper on Mom-technology, describing the recent work of the authors in this area (found in arXiv:math/0606072, arXiv:0705.4325, and arXiv:0809.0346) concerning…

math.GT2008★ 3 cited

The maximal number of exceptional Dehn surgeries

Marc Lackenby, Robert Meyerhoff

We prove two conjectures of C. Gordon. We show that the maximal number of exceptional Dehn surgeries on a 1-cusped hyperbolic 3-manifold is 10, and that the maximal intersection nu…

math.GT2007★ 6 cited

Minimum volume cusped hyperbolic three-manifolds

David Gabai, Robert Meyerhoff, Peter Milley

This paper is the second in a series whose goal is to understand the structure of low-volume complete orientable hyperbolic 3-manifolds. Using Mom technology, we prove that any one…