幾何学コロキウム Diagrams for contact 5-manifolds

開催日時
2009年   07月 24日 16時 30分 ~ 2009年   07月 24日 18時 00分
場所
北大理学部3号館307室
講演者
Otto van Koert (北大)
 
In this talk we shall discuss how one can use Legendrian knot diagrams to describe contact 5-manifolds. The main idea is that a page of a supporting open book for a contact 5-manifold can always be represented by a Kirby diagram. Together with some data on the symplectic monodromy we can thus represent a contact 5-manifold by a knot diagram. In this diagram language, handle slides give rise to contactomorphisms of the underlying contact 5-manifold, but there are also specific 5-dimensional moves. We apply our methods to obtain a partial classification of subcritical fillable contact manifolds in dimension 5.

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