# 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}
}
• Published 12 February 2017
• Mathematics
• Transformation Groups
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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