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The spectral curve for Lawson's minimal surface of genus 2 | | Sebastian Heller
; | | Date: |
14 Sep 2012 | | Abstract: | In this the paper we parametrize the moduli space of flat
$SL(2,C)$-connections on the Lawson minimal surface of genus $ which are
equivariant with respect to certain symmetries of Lawson’s geometric
construction. The parametrization uses Hitchin’s abelianization procedure to
write such connections explicitly in terms of flat line bundles on a complex
1-dimensional torus. This description is used to develop a spectral curve
theory for the Lawson surface. This theory would apply as well to CMC and
minimal surfaces with the same holomorphic symmetries as the Lawson surface. | | Source: | arXiv, 1209.3200 | | Services: | Forum | Review | PDF | Favorites | |
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