55 citations · 264 across the 53 of their papers we have counts for
33 papers · 1 filter
Calculus of multilinear differential operators, operator -algebras and -algebras
Denis Bashkirov, Martin Markl
We propose an operadic framework suitable for describing algebraic structures with operations being multilinear differential operators of varying orders or, more generally, formal…
Which homotopy algebras come from transfer?
Martin Markl, Christopher L. Rogers
We characterize -structures that are transfers over a chain homotopy equivalence or a quasi-isomorphism, answering a question posed by D. Sullivan. Along the way, we pres…
Distributive laws between the Three Graces
Murray Bremner, Martin Markl
By the Three Graces we refer, following J.-L. Loday, to the algebraic operads Ass, Com, and Lie, each generated by a single binary operation; algebras over these operads are respec…
Open-closed modular operads, Cardy condition and string field theory
Martin Doubek, Martin Markl
We prove that the modular operad of diffeomorphism classes of Riemann surfaces with both `open' and `closed' boundary components, in the sense of string field theory, is the modula…
Odd structures are odd
Martin Markl
By an odd structure we mean an algebraic structure in the category of graded vector spaces whose structure operations have odd degrees. Particularly important are odd modular opera…
Higher braces via formal (non)commutative geometry
Martin Markl
We translate the main result of author's arXiv:1309.7744 to the language of formal geometry. In this new setting we prove directly that the Koszul resp. Borjeson braces are pullbac…