Gregory R. Chambers

activity

20122023

most citedQuantitative null-cobordism

14 citations · 40 across the 14 of their papers we have counts for

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Showing 2022Show all

4 papers · 1 filter

math.CO2022

A note on Kalai's $3^{d}$ Conjecture

Gregory R. Chambers, Elia Portnoy

Suppose that $C$ is a centrally symmetric $d$ -dimensional convex polytope; in 1989 Kalai conjectured that $C$ has at least $3^{d}$ facets. We prove this result if there are $d$ hyper…

math.GT2022

Uryson width and pants decompositions of hyperbolic surfaces

Gregory R. Chambers

Suppose that $M$ is a hyperbolic surface of genus $g$ and with $n$ cusps. Then we can find a pants decomposition of $M$ composed of simple closed geodesics so that each curve is co…

math.DG2022

Geodesic nets on non-compact Riemannian manifolds

Gregory R. Chambers, Yevgeny Liokumovich, Alexander Nabutovsky +1

A geodesic flower is a finite collection of geodesic loops based at the same point $p$ that satisfy the following balancing condition: The sum of all unit tangent vectors to all ge…

math.DG2022

On minimal higher genus fillings

Gregory R. Chambers

In this article, we prove that if $(M, g)$ is a genus $G$ orientable surface with a single boundary component $S^{1}$ , and if $(D, g_{0})$ is a disc such that interior points are connect…

A note on Kalai's 3d Conjecture

Uryson width and pants decompositions of hyperbolic surfaces

Geodesic nets on non-compact Riemannian manifolds

On minimal higher genus fillings

A note on Kalai's $3^{d}$ Conjecture