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Summary: All algebraic objects in this note will be considered over a fixed field $k$ of characteristic zero. If not stated otherwise, all operads live in the category of differential graded vector spaces over $k$ . 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

Markl, Martin (2002)

Proceedings of the 21st Winter School "Geometry and Physics"

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 $ℰ_{X}$ of a based space $X$ consists...

Homotopy type of Euclidean configuration spaces

Salvatore, Paolo (2001)

Proceedings of the 20th Winter School "Geometry and Physics"

Let $F (ℝ^{n}, k)$ denote the configuration space of pairwise-disjoint $k$ -tuples of points in $ℝ^{n}$ . In this short note the author describes a cellular structure for $F (ℝ^{n}, k)$ when $n \geq 3$ . 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 $F (ℝ^{n}, k)$ is well-understood. This allows an identification of the location of the cells of $F (ℝ^{n}, k)$ in a minimal cell decomposition. Somewhat more detail is provided by the main result here,...

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Homogene Topologien in Polynomringen

Homogenization and correctors for nonlinear elliptic equations

Homogenization for variational and quasi-variational inequalities

Homogenization of differential operators

Homomorphisms and isomorphisms of semigroups of continuous selfmaps

Homotopical structure of linear groups of Banach spaces

Homotopy algebras via resolutions of operads

Homotopy diagrams of algebras

Homotopy type of Euclidean configuration spaces

Hopf structures on the Borel subalgebra of $s l (2)$

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

Currently displaying 21 – 34 of 34