Genus bounds for min-max minimal surfaces

Daniel Ketover

doi:10.4310/jdg/1563242473

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Home > Journals > J. Differential Geom. > Volume 112 > Issue 3 > Article

July 2019 Genus bounds for min-max minimal surfaces

Daniel Ketover

Author Affiliations +

Daniel Ketover¹
¹Department of Mathematics, Rutgers University, Piscataway, New Jersey, U.S.A.

J. Differential Geom. 112(3): 555-590 (July 2019). DOI: 10.4310/jdg/1563242473

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Abstract

We prove optimal genus bounds for minimal surfaces arising from the min-max construction of Simon–Smith. This confirms a conjecture made by Pitts–Rubinstein in 1986.

Funding Statement

The author was partially supported by NSF-PRF DMS-1401996 as well as by ERC-2011-StG-278940.

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Daniel Ketover. "Genus bounds for min-max minimal surfaces." J. Differential Geom. 112 (3) 555 - 590, July 2019. https://doi.org/10.4310/jdg/1563242473