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Positive loops of contactomorphisms

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Speaker: 
Peter Albers
Affiliation: 
Münster
Date: 
Thu, 11/12/2014 - 14:00 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
Symplectic Geometry Day

In 2000 Eliashberg-Polterovich introduced the notion of positive contact isotopies and studied induced biinvariant partial orders on contactomorphism groups. In 2006 Eliashberg-Kim-Polterovich discovered a link to contact (non-)squeezing. At the core of these works are so-called (contractible) positive loops of contactomorphisms. Existence of or obstructions to (contractible) positive loops are difficult questions. In my talk I will explain basic notions and give simple examples illustrating these. Towards the I will explain some results concerning obstructions and a link to the famous Weinstein conjecture.

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