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Nearby Lagrangians are simply homotopic
Multi angle
Authors : Abouzaid, Mohammed (Author of the conference)
CIRM (Publisher )
53D40 - Floer homology and cohomology, symplectic aspects
55P35 - Loop spaces
55P42 - Stable homotopy theory, spectra
CIRM (Publisher )
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Abstract :
I will describe joint work with Thomas Kragh proving that closed exact Lagrangians in cotangent bundles are simply homotopy equivalent to the base. The main two ideas are (i) a Floer theoretic model for the Whitehead torsion of the projection from the Lagrangian to the base, and (ii) a large scale deformation of the Lagrangian which allows a computation of this torsion.
MSC Codes : 53D40 - Floer homology and cohomology, symplectic aspects
55P35 - Loop spaces
55P42 - Stable homotopy theory, spectra
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 17/06/15 Conference Date : 04/06/15 Subseries : Research talks arXiv category : Spectral Theory ; Algebraic Topology Mathematical Area(s) : Topology ; Geometry Format : MP4 (.mp4) - HD Video Time : 00:58:55 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-06-04_Abouzaid.mp4 
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Information on the Event
Event Title : Jean-Morlet Chair: Moduli spaces in symplectic topology and in Gauge theory / Chaire Jean-Morlet : Espaces de modules en topologie symplectique et en théorie de JaugeEvent Organizers : Hofer, Helmut ; Itenberg, Ilia ; Lalonde, François ; McDuff, Dusa ; Ono, Kaoru ; Polterovich, Leonid ; Teleman, Andrei Dates : 01/06/15 - 05/06/15 Event Year : 2015 Event URL : https://www.chairejeanmorlet.com/1256.html
Citation Data
DOI : 10.24350/CIRM.V.18771203Cite this video as: Abouzaid, Mohammed (2015). Nearby Lagrangians are simply homotopic. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18771203 URI : http://dx.doi.org/10.24350/CIRM.V.18771203 |
Bibliography
- Abouzaid, M., & Kragh, T. (2014). On the immersion classes of nearby Lagrangians.
