Details

Autor(en) / Beteiligte

• Khoroshkin, Anton
• Willwacher, Thomas
• Živković, Marko

Titel

Differentials on graph complexes II: hairy graphs

Ist Teil von

• Letters in mathematical physics, 2017-10, Vol.107 (10), p.1781-1797

Ort / Verlag

Dordrecht: Springer Netherlands

Erscheinungsjahr

2017

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.