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Results tagged with contact-geometry
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user 10839
Contact manifolds, contact structures, contact forms, Reeb dynamics, Legendrian knots, contact homology, symplectic field theory
5
votes
Symplectic Submanifolds of Contact Manifolds and Contact Submanifolds of Symplectic Manifolds
As Chris Gerig indicates in his comment, the correct notion is that of a contact-type hypersurface. These always exist, even locally. You could just take the boundary of a Darboux ball, which always e …
- 7,005
3
votes
Contactomorphisms have in general no fixed points
Here's a complement to Dmitri's excellent answer. While it's true that contactomorphisms can have fixed points, even for some open set of contactomorphisms, there is a reason you don't expect to be ab …
- 7,005
11
votes
Physical intuition behind prequantization spaces
If you think instead of the prequantum line bundle (i.e. the complex line bundle associated to your prequantum circle bundle using the standard representation of the circle on $\mathbb{C}$) then the s …
- 7,005