Genus bounds for minimal surfaces arising from min-max construction
Fillipo Pellandini Universtät Zürich
In this talk I will give and prove genus bounds for closed embedded minimal surfaces in a closed 3-dimensional manifold constructed via min-max arguments. A stronger estimate was announced by Pitts and Rubistein but to my knowledge its proof has never been published. This proof follows ideas of Simon and uses an extension of a famous result of Meeks, Simon and Yau on the convergence of minimizing sequences of isotopic surfaces.