Reference : Differentials on graph complexes II: hairy graphs
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Computational Sciences
http://hdl.handle.net/10993/35205
Differentials on graph complexes II: hairy graphs
English
Khoroshkin, Anton mailto [National Research University > Higher School of Economics, Moscow]
Willwacher, Thomas mailto [Eidgenössische Technische Hochschule Zürich - ETH > Department of Mathematics]
Zivkovic, Marko mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Oct-2017
Letters in Mathematical Physics
Springer Science & Business Media B.V.
107
10
1781–1797
Yes (verified by ORBilu)
International
0377-9017
1573-0530
Dordrecht
The Netherlands
[en] Graph complexes ; Operads ; Embedding calculus
[en] We study the cohomology of the hairy graph complexes which compute the rational homotopy of embedding spaces, generalizing the Vassiliev invariants of knot theory. We provide spectral sequences converging to zero whose first pages contain the hairy graph cohomology. Our results yield a way to construct many nonzero hairy graph cohomology classes out of (known) non-hairy classes by studying the cancellations in those sequences. This provide a first glimpse at the tentative global structure of the hairy graph cohomology.
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/35205

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