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Lawson's genus two minimal surface and meromorphic connections | | Sebastian Heller
; | | Date: |
28 Sep 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. | | Source: | arXiv, 1009.5487 | | Services: | Forum | Review | PDF | Favorites | |
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