Reference : Symmetric Khovanov--Rozansky link homologies
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Symmetric Khovanov--Rozansky link homologies
Robert, Louis-Hadrien mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
Wagner, Emmanuel mailto [Université de Paris > IMJ-PRG]
Journal de l'École Polytechnique. Mathématiques
Éditions de l'École Polytechnique
Yes (verified by ORBilu)
[en] Link homology ; Foams ; Soergel bimodules
[en] We provide a finite-dimensional categorification of the symmetric evaluation of sl(N)-webs using foam technology. As an output we obtain a symmetric link homology theory categorifying the link invariant associated to symmetric powers of the standard representation of sl(N). The construction is made in an equivariant setting. We prove also that there is a spectral sequence from the Khovanov--Rozansky triply graded link homology to the symmetric one and provide along the way a foam interpretation of Soergel bimodules.
FnR ; FNR12246620 > Hugo Parlier > GPS > Geometry Probability And Their Synergies > 01/01/2019 > 30/06/2025 > 2017

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