26 citations · 102 across the 11 of their papers we have counts for
4 papers · 1 filter
Differentials on graph complexes
Anton Khoroshkin, Thomas Willwacher, Marko Živković
We study the cohomology of complexes of ordinary (non-decorated) graphs, introduced by M. Kontsevich. We construct spectral sequences converging to zero whose first page contains t…
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…
The dimensions and Euler characteristics of M. Kontsevich's graph complexes
Thomas Willwacher, Marko Živković
We provide a generating function for the (graded) dimensions of M. Kontsevich's graph complexes of ordinary graphs. This generating function can be used to compute the Euler charac…