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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3 papers · 1 filter

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.GT2016★ 7 cited

Quantitative nullhomotopy and rational homotopy type

Gregory R. Chambers, Fedor Manin, Shmuel Weinberger

In \cite{GrOrang}, Gromov asks the following question: given a nullhomotopic map $f : S^{m} \to S^{n}$ of Lipschitz constant $L$ , how does the Lipschitz constant of an optimal nullhomoto…

math.GT2016★ 14 cited

Quantitative null-cobordism

Gregory R. Chambers, Dominic Dotterrer, Fedor Manin +1

For a given null-cobordant Riemannian $n$ -manifold, how does the minimal geometric complexity of a null-cobordism depend on the geometric complexity of the manifold? In [Gro99], Gr…