55 citations · 264 across the 53 of their papers we have counts for
8 papers · 1 filter
Loop Homotopy Algebras in Closed String Field Theory
Martin Markl
Barton Zwiebach constructed the `string products' on the Hilbert space of combined conformal field theory of matter and ghosts. It is well-known that the `tree level' specializatio…
A Compactification of the Real Configuration Space as an Operadic Completion
Martin Markl
S. Axelrod and I.M. Singer constructed a compactification of the configuration space of distinct points in a Riemannian manifold V. A similar compactification for the moduli space…
Models for Operads
Martin Markl
We study properties of differential graded (dg) operads modulo weak equivalences, that is, modulo the relation given by the existence of a chain of dg operad maps inducing a homolo…
Distributive Laws and the Koszulness
Martin Markl
We study algebras with a distributive law and the Koszulness of associated operads. As a corollary of our theory we prove that the homology operad of the little cubes operad is Kos…
Drinfel'd algebra deformations, homotopy comodules and the associahedra
Martin Markl, Steve Shnider
The aim of this work is to construct a cohomology theory controlling the deformations of a general Drinfel'd algebra. The task is accomplished in three steps. The first step is the…
Strongly homotopy Lie algebras
Tom Lada, Martin Markl
The present paper can be thought of as a continuation of the paper "Introduction to sh Lie algebras for physicists" by T. Lada and J. Stasheff (International Journal of Theoretical…