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arXiv · 1607.05604

The moduli space of two-convex embedded spheres

Reto Buzano·Robert Haslhofer·Or Hershkovits
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Abstract

We prove that the moduli space of 2-convex embedded n-spheres in R^{n+1} is path-connected for every n. Our proof uses mean curvature flow with surgery and can be seen as an extrinsic analog to Marques' influential proof of the path-connectedness of the moduli space of positive scalar curvature metics on three-manifolds.

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Reto Buzano, Robert Haslhofer, Or Hershkovits. 2016-07-19. The moduli space of two-convex embedded spheres. https://doi.org/10.4310/jdg%2F1622743139

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