Morse Structures on Open Books
1 hour 6 mins,
241.37 MB,
iPod Video
480x270,
29.97 fps,
44100 Hz,
499.32 kbits/sec
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About this item
| Description: |
Licata, J (Australian National University)
Thursday 8th June 2017 - 15:15 to 16:15 |
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| Created: | 2017-06-29 09:06 |
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| Collection: | Homology theories in low dimensional topology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Licata, J |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
|
| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | Every contact 3-manifold is locally contactomorphic to the standard contact R^3, but this fact does not necessarily produce large charts that cover the manifold efficiently. I'll describe joint work with Dave Gay and more recently, Dan Mathews, which uses an open book decomposition of a contact manifold to produce a particularly efficient collection of such contactomorphisms, together with simple combinatorial data describing how to reconstruct the contact 3-manifold from these charts. We use this construction to define front projections for Legendrian knots and links in arbitrary contact 3-manifolds, generalising existing constructions of front projections for Legendrian knots in S^3 and universally tight lens spaces. |
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