References of "Khoroshkin, Anton"
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See detailDifferentials on graph complexes II: hairy graphs
Khoroshkin, Anton; Willwacher, Thomas; Zivkovic, Marko UL

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 ▲]

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See detailOn quantizable odd Lie bialgebras
Khoroshkin, Anton; Merkulov, Sergei UL; Thomas, Willwacher

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.

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See detailQuillen homology for operads via Gröbner bases
Dotsenko, Vladimir UL; Khoroshkin, Anton

in Documenta Mathematica (2013), 18

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