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Virtual fundamental cycles and contact homology

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Post-edited
Authors : Pardon, John (Author of the conference)
CIRM (Publisher )

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contact homology pseudo-holomorphic curves moduli spaces transversality compactified moduli spaces implicit atlases thickened moduli spaces virtual fundamental cycles S-module Questions
Abstract : I will discuss work in progress aimed towards defining contact homology using "virtual" holomorphic curve counting techniques.

MSC Codes :
37J10 - Symplectic mappings - Fixed points
 53D35 - Global theory of symplectic and contact manifolds
 53D40 - Floer homology and cohomology, symplectic aspects
53D45 - Gromov-Witten invariants - quantum cohomology - Frobenius manifolds
 57R17 - Symplectic and contact topology
 53D42 - Symplectic field theory; contact homology
    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 17/06/15
    Conference Date : 02/06/15
    Subseries : Research talks
    arXiv category : Spectral Theory ; Algebraic Topology
    Mathematical Area(s) : Geometry ; Topology
    Format : QuickTime (.mov) Video Time : 01:01:40
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2015-06-02_Pardon.mp4
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 Jauge
Event Organizers : Hofer, Helmut ; Itenberg, Ilia ; Lalonde, François ; McDuff, Dusa ; Ono, Kaoru ; Polterovich, Leonid ; Teleman, Andrei
Dates : 01/06/2015 - 05/06/15
Event Year : 2015
Event URL : https://www.chairejeanmorlet.com/1256.html

Citation Data

DOI : 10.24350/CIRM.V.18769903
Cite this video as: Pardon, John (2015). Virtual fundamental cycles and contact homology. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18769903
URI : http://dx.doi.org/10.24350/CIRM.V.18769903

Bibliography

  • Eliashberg, Y., Givental, A., & Hofer, H. (2000). Introduction to Symplectic Field Theory. - http://arxiv.org/abs/math/0010059

  • Pardon, J. (2014). An algebraic approach to virtual fundamental cycles on moduli spaces of J-holomorphic curves. - http://arxiv.org/abs/1309.2370

  • John Pardon. Contact homology and virtual fundamental cycles. Preprint -


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