55 citations · 264 across the 53 of their papers we have counts for
4 papers · 1 filter
Combinatorial differential geometry and ideal Bianchi-Ricci identities II - the torsion case
Josef Janyška, Martin Markl
This paper is a continuation of arXiv:0809.1158, dealing with a general, not-necessarily torsion-free, connection. It characterizes all possible systems of generators for vector-fi…
Combinatorial differential geometry and ideal Bianchi-Ricci identities
Josef Janyska, Martin Markl
We apply the graph complex method to vector fields depending naturally on a set of vector fields and a linear symmetric connection. We characterize all possible systems of generato…
Natural differential operators and graph complexes
Martin Markl
We show how the machine of PROP profiles invented by S. Merkulov can be used to study and classify natural operators in differential geometry. We also give an interpretation of gra…
Differential Operator Endomorphisms of an Euler-Lagrange Complex
Martin Markl, Steve Shnider
The main results of our paper deal with the lifting problem for multilinear differential operators between complexes of horizontal de Rham forms on the infinite jet bundle. We answ…