Session 11. Geometric Analysis and Related Topics

The Gradient Flow of the Möbius Energy

Simon Blatt, KIT Karlsruhe, Germany
In 1988 Fukuhara proposed the use of energies to deform knots into a standard form. In this talk will have a look at the most prominent knot energy, the Möbius energy introduced by Jun O'Hara. We will discuss new and wellknown results in this context focusing on a new \(\varepsilon \)-regularity result for the negative gradient flow and its consequences
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