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See detailGivental group action on topological field theories and homotopy Batalin-Vilkovisky algebras
Shadrin, Sergey; Vallette, Bruno; Dotsenko, Vladimir UL

in Advances in Mathematics (2013), 236

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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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See detailHigher Koszul duality for associative algebras
Dotsenko, Vladimir UL; Vallette, Bruno

E-print/Working paper (2012)

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See detailDe Rham cohomology and homotopy Frobenius manifolds
Dotsenko, Vladimir UL; Shadrin, Sergey; Vallette, Vallette

E-print/Working paper (2012)

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See detailPattern avoidance in labelled trees
Dotsenko, Vladimir UL

in Séminaire Lotharingien de Combinatoire (2012), (67),

We discuss a new notion of pattern avoidance motivated by the operad theory: pattern avoidance in planar labelled trees. It is a generalisation of various types of consecutive pattern avoidance studied ... [more ▼]

We discuss a new notion of pattern avoidance motivated by the operad theory: pattern avoidance in planar labelled trees. It is a generalisation of various types of consecutive pattern avoidance studied before: consecutive patterns in words, permutations, coloured permutations etc. The notion of Wilf equivalence for patterns in permutations admits a straightforward generalisation for (sets of) tree patterns; we describe classes for trees with small numbers of leaves, and give several bijections between trees avoiding pattern sets from the same class. We also explain a few general results for tree pattern avoidance, both for the exact and the asymptotic enumeration. [less ▲]

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