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Hartogs phenomena for Hermitian vector bundles

Harris, Adam (1999)

Proceedings of the 18th Winter School "Geometry and Physics"

Hasse diagrams for parabolic geometries

Krump, Lukáš, Souček, Vladimír (2003)

Proceedings of the 22nd Winter School "Geometry and Physics"

The invariant differential operators on a manifold with a given parabolic structure come in two classes, standard and non-standard, and can be further subdivided into regular and singular ones. The standard regular operators come in repeated patterns, the Bernstein-Gelfand-Gelfand sequences, described by Hasse diagrams. In this paper, the authors present an alternative characterization of Hasse diagrams, which is quite efficient in the case of low gradings. Several examples are given.

Hecke operators on de Rham cohomology.

Min Ho Lee (2004)

Revista Matemática Complutense

We introduce Hecke operators on de Rham cohomology of compact oriented manifolds. When the manifold is a quotient of a Hermitian symmetric domain, we prove that certain types of such operators are compatible with the usual Hecke operators on automorphic forms.

Higher order geodesic symmetries

García, A., Jiménez, J. A., Sánchez, C. U. (1991)

Proceedings of the Winter School "Geometry and Physics"

Homotopy algebras via resolutions of operads

Markl, Martin (2000)

Proceedings of the 19th Winter School "Geometry and Physics"

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 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,...

Horizontal lifts and foliations

Pogoda, Zdzisław (1989)

Proceedings of the Winter School "Geometry and Physics"

Horizontal lifts of tensor fields and connections to the tangent bundle of higher order

Gancarzewicz, Jacek, Salgado, Modesto (1989)

Proceedings of the Winter School "Geometry and Physics"

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