# 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…

#### 13 Citations

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