367 citations · 1.6k across the 63 of their papers we have counts for
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Detecting knot invertibility
Greg Kuperberg
We discuss the consequences of the possibility that Vassiliev invariants do not detect knot invertibility as well as the fact that quantum Lie group invariants are known not to do…
Non-involutory Hopf algebras and 3-manifold invariants
Greg Kuperberg
We present a definition of an invariant #(M,H), defined for every finite-dimensional Hopf algebra (or Hopf superalgebra or Hopf object) H and for every closed, framed 3-manifold M.…
Web bases for sl(3) are not dual canonical
Mikhail Khovanov, Greg Kuperberg
We compare two natural bases for the invariant space of a tensor product of irreducible representations of A_2, or sl(3). One basis is the web basis, defined from a skein theory ca…
Spiders for rank 2 Lie algebras
Greg Kuperberg
A spider is an axiomatization of the representation theory of a group, quantum group, Lie algebra, or other group or group-like object. We define certain combinatorial spiders by g…