Browsing 2012 by MFO Scientific Program "OWLF 2012"

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Invariants of Closed Braids via Counting Surfaces

[OWP-2012-15] Brandenbursky, Michael (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] Brandenbursky, Michael; Kȩdra, Jarek (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 ...