Sutured annular Khovanov-Rozansky homology

  title={Sutured annular Khovanov-Rozansky homology},
  author={Hoel Queffelec and David E. V. Rose},
  journal={arXiv: Quantum Algebra},
We introduce an sl(n) homology theory for knots and links in the thickened annulus. To do so, we first give a fresh perspective on sutured annular Khovanov homology, showing that its definition follows naturally from trace decategorifications of enhanced sl(2) foams and categorified quantum gl(m), via classical skew Howe duality. This framework then extends to give our annular sl(n) link homology theory, which we call sutured annular Khovanov-Rozansky homology. We show that the sl(n) sutured… 
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