199 citations · 527 across the 27 of their papers we have counts for
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Current algebras and categorified quantum groups
Anna Beliakova, Kazuo Habiro, Aaron D. Lauda +1
We identify the trace, or 0th Hochschild homology, of type ADE categorified quantum groups with the corresponding current algebra of the same type. To prove this, we show that 2-re…
Trace as an alternative decategorification functor
Anna Beliakova, Zaur Guliyev, Kazuo Habiro +1
Categorification is a process of lifting structures to a higher categorical level. The original structure can then be recovered by means of the so-called "decategorification" funct…
Trace decategorification of categorified quantum sl(3)
Marko Živković
We prove that the trace of categorified quantum sl(3) introduced by M. Khovanov and A. Lauda can also be identified with quantum sl(3), thus providing an alternative way of decateg…
Trace decategorification of categorified quantum sl(2)
Anna Beliakova, Kazuo Habiro, Aaron D. Lauda +1
The trace or the th Hochschild--Mitchell homology of a linear category may be regarded as a kind of decategorification of . We compute traces of the t…
Kirby calculus for null-homologous framed links in 3-manifolds
Kazuo Habiro, Tamara Widmer
A theorem of Kirby gives a necessary and sufficient condition for two framed links in S^3 to yield orientation-preserving diffeomorphic results of surgery. Kirby's theorem is an im…