Homogenization of differential operators
Homomorphisms and isomorphisms of semigroups of continuous selfmaps
Homotopy algebras via resolutions of operads
Summary: All algebraic objects in this note will be considered over a fixed field of characteristic zero. If not stated otherwise, all operads live in the category of differential graded vector spaces over . For standard terminology concerning operads, algebras over operads, etc., see either the original paper by J. P. May [“The geometry of iterated loop spaces”, Lect. Notes Math. 271 (1972; Zbl 0244.55009)], or an overview [J.-L. Loday, “La renaissance des opérads”, Sémin. Bourbaki 1994/95,...
Homotopy diagrams of algebras
The paper is concerned with homotopy concepts in the category of chain complexes. It is part of the author’s program to translate [J. M. Boardman and R. M. Vogt, Homotopy invariant algebraic structures on topological spaces, Lect. Notes Math. 347, Springer-Verlag (1973; Zbl 0285.55012)] from topology to algebra.In topology the notion of operad extracts the essential algebraic information contained in the following example (endomorphism operad).The endomorphism operad of a based space consists...
Homotopy type of Euclidean configuration spaces
Let denote the configuration space of pairwise-disjoint -tuples of points in . In this short note the author describes a cellular structure for when . From results in [F. R. Cohen, T. J. Lada and J. P. May, The homology of iterated loop spaces, Lect. Notes Math. 533 (1976; Zbl 0334.55009)], the integral (co)homology of is well-understood. This allows an identification of the location of the cells of in a minimal cell decomposition. Somewhat more detail is provided by the main result here,...
Hopf structures on the Borel subalgebra of
Horizontal and contact forms on constraint manifolds
Horizontal lift of tensor fields of type (1,1) from a manifold to its tangent bundle of higher order
Horizontal lifts and foliations
Horizontal lifts of tensor fields and connections to the tangent bundle of higher order