AFFINE BRAID GROUP, JM ELEMENTS AND KNOT HOMOLOGY

@article{Oblomkov2017AFFINEBG,
  title={AFFINE BRAID GROUP, JM ELEMENTS AND KNOT HOMOLOGY},
  author={Alexei Oblomkov and Lev Rozansky},
  journal={Transformation Groups},
  year={2017},
  volume={24},
  pages={531-544}
}
In this paper we construct a homomorphism of the affine braid group Brnaff$$ {\mathfrak{Br}}_n^{\mathrm{aff}} $$ in the convolution algebra of the equivariant matrix factorizations on the space X¯2=bn×GLn×nn$$ {\overline{\mathcal{X}}}_2={\mathfrak{b}}_n\times {\mathrm{GL}}_n\times {\mathfrak{n}}_n $$ considered in the earlier paper of the authors. We explain that the pull-back on the stable part of the space X¯2$$ {\overline{\mathcal{X}}}_2 $$ intertwines with the natural homomorphism from the… 
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