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We discuss a graph complex formed by directed acyclic graphs with external legs. This complex comes in particular with a map to the ribbon graph complex computing the (compactly supported) cohomology of the moduli space of points $\mathcal M_{g,n}$,
Externí odkaz:
http://arxiv.org/abs/2005.00439
Autor:
Andersson, Assar, Živković, Marko
We show that the hairy graph complex $(HGC_{n,n},d)$ appears as an associated graded complex of the oriented graph complex $(OGC_{n+1},d)$, subject to the filtration on the number of targets, or equivalently sources, called the fixed source graph com
Externí odkaz:
http://arxiv.org/abs/1912.09438
Autor:
Andersson, Assar, Merkulov, Sergei
We study homotopy theory of the wheeled prop controlling Poisson structures on arbitrary formal graded finite-dimensional manifolds and prove, in particular, that Grothendieck-Teichmueller group acts on that wheeled prop faithfully and homotopy non-t
Externí odkaz:
http://arxiv.org/abs/1911.09089
Akademický článek
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Autor:
Andersson, Assar, Merkulov, Sergei
Publikováno v:
IMRN: International Mathematics Research Notices; Jun2022, Vol. 2022 Issue 12, p9275-9307, 33p