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Differential equation for the Reidemeister torsion
Post-edited
Authors : Marché, Julien (Author of the conference)
CIRM (Publisher )
53D50 - Geometric quantization
57M25 - Knots and links in $S^3$
57M27 - Invariants of knots and 3-manifolds
57R56 - Topological quantum field theories
CIRM (Publisher )
Abstract :
The Reidemeister torsion may be viewed as a volume form on the character variety of a 3-manifold with boundary. I will explain a conjectural differential equation that this form should satisfy, motivated by the study of the asymptotical behaviour of quantum invariants.
Keywords : topological quantum field theory (TQFT); asymptotic expansion conjecture; Chern-Simons invariant
MSC Codes : Keywords : topological quantum field theory (TQFT); asymptotic expansion conjecture; Chern-Simons invariant
53D50 - Geometric quantization
57M25 - Knots and links in $S^3$
57M27 - Invariants of knots and 3-manifolds
57R56 - Topological quantum field theories
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 07/02/2018 Conference Date : 30/01/2018 Subseries : Research talks arXiv category : Geometric Topology Mathematical Area(s) : Geometry ; Topology Format : MP4 (.mp4) - HD Video Time : 01:08:24 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-01-30_Marche.mp4 
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Information on the Event
Event Title : Representation spaces, Teichmüller theory, and their relationship with 3-manifolds from the classical and quantum viewpoints / Espaces de représentations, théorie de Teichmüller et leur rapport avec les 3-variétés d'un point de vue classique et quantiqueEvent Organizers : Boileau, Michel ; Kitano, Teruaki ; Morifuji, Takayuki ; Paoluzzi, Luisa Dates : 29/01/2018 - 02/02/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1891.html
Citation Data
DOI : 10.24350/CIRM.V.19273103Cite this video as: Marché, Julien (2018). Differential equation for the Reidemeister torsion. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19273103 URI : http://dx.doi.org/10.24350/CIRM.V.19273103 |
See Also
- [Multi angle] L-space knots in twist families and satellite L-space knots / Author of the conference Motegi, Kimihiko.
- [Multi angle] Equidistribution of square-tiled surfaces, meanders, and Masur-Veech volumes / Author of the conference Zorich, Anton.
- [Multi angle] Finite type invariants of knots in homology 3-spheres / Author of the conference Moussard, Delphine.
Bibliography
- Marché, J. (2015). Differential geometry on the character variety. IAS. Audiovisual resource - https://youtu.be/n_MPgBz8330
- Marché, J. (2017). The Kauffman skein module at first order.
