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   Differentials on graph complexes II: hairy graphs; ; Zivkovic, Marko  in Letters in Mathematical Physics (2017), 107(10), 17811797 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 ... [more ▼] 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. [less ▲] Detailed reference viewed: 93 (2 UL)On quantizable odd Lie bialgebras; Merkulov, Sergei ; in Letters in Mathematical Physics (2016), 106(9), 1199-1215 The notion of a quantizable odd Lie bialgebra is introduced. A minimal resolution of the properad governing such Lie bialgebras is constructed. Detailed reference viewed: 145 (5 UL)Quillen homology for operads via Gröbner basesDotsenko, Vladimir ; in Documenta Mathematica (2013), 18 Detailed reference viewed: 23 (1 UL) |
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