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math.DG2016
Weyl law for the volume spectrum
Yevgeny Liokumovich, Fernando C. Marques, André Neves
Given a Riemannian manifold with (possibly empty) boundary, we show that its volume spectrum satisfies a Weyl law that was conjectured by Gromov.
math.DG2016
The catenoid estimate and its geometric applications
Daniel Ketover, Fernando C. Marques, André Neves
We prove a sharp area estimate for catenoids that allows us to rule out the phenomenon of multiplicity in min-max theory in several settings. We apply it to prove that i) the width…