17 citations · 21 across the 6 of their papers we have counts for
10 papers · 1 filter
Lie elements in pre-Lie algebras, trees and cohomology operations
Martin Markl
We give a simple characterization of Lie elements in free pre-Lie algebras as elements of the kernel of a map between spaces of trees. We explain how this result is related to natu…
Algebras with one operation including Poisson and other Lie-admissible algebras
Martin Markl, Elisabeth Remm
We investigate algebras with one operation. We study when these algebras form a monoidal category and analyze Koszulness and cyclicity of the corresponding operads. We also introdu…
Free Homotopy Algebras
Martin Markl
This note was originated many years ago as my reaction to questions of several people how free strongly homotopy algebras can be described and what can be said about the structure…
A resolution (minimal model) of the PROP for bialgebras
Martin Markl
This paper is concerned with a minimal resolution of the PROP for bialgebras. We prove a theorem about the form of this resolution (Theorem 15) and give, in Section 5, a lot of exp…
Higher Homotopy Operations
David Blanc, Martin Markl
We provide a general definition of higher homotopy operations, encompassing most known cases, including higher Massey and Whitehead products, and long Toda brackets. These operatio…
Free Loop Spaces and Cyclohedra
Martin Markl
In this note we introduce an action of cyclohedra on the free loop space. We will then discuss how this action can be used for an appropriate recognition principle in the same mann…