11 citations · 16 across the 2 of their papers we have counts for
3 papers
math.QA2024
Hilbert series for contractads and modular compactifications
Anton Khoroshkin, Denis Lyskov
Contractads are operadic-type algebraic structures well-suited for describing configuration spaces indexed by a simple connected graph . Specifically, these configuration spaces…
math.QA2014★ 5 cited
Differentials on graph complexes
Anton Khoroshkin, Thomas Willwacher, Marko Živković
We study the cohomology of complexes of ordinary (non-decorated) graphs, introduced by M. Kontsevich. We construct spectral sequences converging to zero whose first page contains t…
math.CO2010★ 11 cited
Anick-type resolutions and consecutive pattern avoidance
Vladimir Dotsenko, Anton Khoroshkin
For permutations avoiding consecutive patterns from a given set, we present a combinatorial formula for the multiplicative inverse of the corresponding exponential generating funct…