114 citations · 500 across the 43 of their papers we have counts for
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Knot homology via derived categories of coherent sheaves II, sl(m) case
Sabin Cautis, Joel Kamnitzer
Using derived categories of equivariant coherent sheaves we construct a knot homology theory which categorifies the quantum sl(m) knot polynomial. Our knot homology naturally satis…
The crystal commutor and Drinfeld's unitarized R-matrix
Joel Kamnitzer, Peter Tingley
Drinfeld defined a unitarized R-matrix for any quantum group U_q(g). This gives a commutor for the category of U_q(g) representations, making it into a coboundary category. Henriqu…
Hives and the fibres of the convolution morphism
Joel Kamnitzer
By the geometric Satake correspondence, the number of components of certain fibres of the affine Grassmannian convolution morphism equals the tensor product multiplicity for repres…
Knot homology via derived categories of coherent sheaves I, sl(2) case
Sabin Cautis, Joel Kamnitzer
Using derived categories of equivariant coherent sheaves, we construct a categorification of the tangle calculus associated to sl(2) and its standard representation. Our constructi…