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A hitchhiker's guide to Khovanov homology - Part I

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Post-edited
Authors : Turner, Paul (Author of the conference)
CIRM (Publisher )

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

Abstract : 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.

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

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 01/07/14
    Conference Date : 23/06/14
    Subseries : Research talks
    arXiv category : Geometric Topology ; Algebraic Topology ; Quantum Algebra
    Mathematical Area(s) : Algebra ; Geometry ; Topology
    Format : QuickTime (.mov) Video Time : 01:10:13
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2014-06-23_Turner_part1.mp4

Information on the Event

Event Title : Geometric and quantum topology in dimension 3 / Topologie géométrique et quantique en dimension 3
Event Organizers : Boileau, Michel ; Lescop, Christine ; Paoluzzi, Luisa
Dates : 23/06/14 - 27/06/14
Event Year : 2014
Event URL : 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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