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• #### Invariants of Closed Braids via Counting Surfaces ﻿

[OWP-2012-15] (Mathematisches Forschungsinstitut Oberwolfach, 2012)
A Gauss diagram is a simple, combinatorial way to present a link. It is known that any Vassiliev invariant may be obtained from a Gauss diagram formula that involves counting subdiagrams of certain combinatorial types. In ...
• #### On the autonomous metric on the group of area-preserving diffeomorphisms of the 2-disc ﻿

[OWP-2012-16] (Mathematisches Forschungsinstitut Oberwolfach, 2012)
Let $D^2$ be the open unit disc in the Euclidean plane and let $G := Diff(D^2; area)$ be the group of smooth compactly supported area-preserving diffeomorphisms of $D^2$. For every natural number $k$ we construct an injective ...