114 citations · 522 across the 32 of their papers we have counts for
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math.AG2007★ 34 cited
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…
math.AG2007
The Abelian Monodromy Extension Property for Families of Curves
Sabin Cautis
Necessary and sufficient conditions are given (in terms of monodromy) for extending a family of smooth curves over an open subset U of S to a family of stable curves over S. More p…
math.AG2007
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…