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H 1 A hitchhiker's guide to Khovanov homology - Part I

Auteurs : Turner, Paul (Auteur de la Conférence)
CIRM (Editeur )

 Loading the player... Khovanov homology skein long exact sequences mirror image Jones polynomial reduced Khovanov homology alternating links integral Khovanov homology reduced-unreduced long exact sequence

Résumé : There are already too many introductory articles on Khovanov homology and certainly another is not needed. On the other hand by now - 15 years after the invention of subject - it is quite easy to get lost after having taken those first few steps. What could be useful is a rough guide to some of the developments over that time and the summer school Quantum Topology at the CIRM in Luminy has provided the ideal opportunity for thinking about what such a guide should look like.
It is quite a risky undertaking because it is all too easy to offend by omission, misrepresentation or other. I have not attempted a complete literature survey and inevitably these notes reflects my personal view, jaundiced as it may often be. My apologies for any offence caused.
I would like to express my warm thanks to Lukas Lewark, Alex Shumakovitch, Liam Watson and Ben Webster.

Codes MSC :
57M25 - Knots and links in $S^3$
57M27 - Invariants of knots and 3-manifolds

 Informations sur la Vidéo Langue : Anglais Date de publication : 01/07/14 Date de captation : 23/06/14 Collection : Research talks ; Algebra ; Geometry ; Topology Format : QuickTime (.mov) Durée : 01:10:13 Domaine : Algebra ; Geometry ; Topology Audience : Chercheurs ; Doctorants , Post - Doctorants Download : https://videos.cirm-math.fr/2014-06-23_Turner_part1.mp4 Informations sur la rencontre Nom de la rencontre : Geometric and quantum topology in dimension 3 / Topologie géométrique et quantique en dimension 3Organisateurs de la rencontre : Boileau, Michel ; Lescop, Christine ; Paoluzzi, LuisaDates : 23/06/14 - 27/06/14 Année de la rencontre : 2014 URL Congrès : http://www.latp.univ-mrs.fr/~paoluzzi/tgqd3.html Citation Data DOI : 10.24350/CIRM.V.18504503 Cite this video as: Turner, Paul (2014). A hitchhiker's guide to Khovanov homology - Part I. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18504503 URI : http://dx.doi.org/10.24350/CIRM.V.18504503

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