Lawson's genus two minimal surface and meromorphic connections

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Sebastian Heller

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Originalspracheundefiniert/unbekannt
FachzeitschriftMath. Z.
PublikationsstatusVeröffentlicht - 28 Sept. 2010

Abstract

We investigate the Lawson genus \(2\) surface by methods from integrable system theory. We prove that the associated family of flat connections comes from a family of flat connections on a \(4-\)punctured sphere. We describe the symmetries of the holonomy and show that it is already determined by the holonomy around one of the punctures. We show the existence of a meromorphic DPW potential for the Lawson surface which is globally defined on the surface. We determine this potential explicitly up to two unknown functions depending only on the spectral parameter.

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Lawson's genus two minimal surface and meromorphic connections. / Heller, Sebastian.
in: Math. Z., 28.09.2010.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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