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Symmetric Khovanov-Rozansky link homologies
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We provide a finite-dimensional categorification of the symmetric evaluation of
????????
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
????????
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.
MathDoc/Centre Mersenne
Title: Symmetric Khovanov-Rozansky link homologies
Description:
We provide a finite-dimensional categorification of the symmetric evaluation of
????????
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
????????
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.
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