Non-compactness of Moduli spaces of finite topology embedded minimal surfaces.

Kleene, Stephen J.

Non-compactness of Moduli spaces of finite topology embedded minimal surfaces. - Rio de Janeiro: IMPA, 2015. - video online

I will discuss recent work in which singular perturbation methods are applied to show non-compactness of the moduli space M(4, g) of finite topology minimal surfaces with four ends and high genus g. Additionally, I will outline how I expect the technique to generalize to the space M(k, g). This is joint work with Niels Martin Moller .


Matematica.
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