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Differentiable manifolds, immersions. The tangent space of a differentiable manifold, the tangent map. Differential forms on a manifold, transformations of differential forms, complex-valued differential forms. Partitions of unity on a manifold, construction of a Riemannian metric, construction of a tubular neighbourhood oapropos 发表于 2025-3-22 05:02:09
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Leray’s theory of residues a multiple pole. Relation with the notion of the derivative of a form. Composed residues, skew symmetry of the composed coboundary, calculation of composed residues. Generalization to relative homology.Explosive 发表于 2025-3-22 16:17:05
Thom’s isotopy theoremes, isotopy class of a path. Stratified sets, regular incidence, examples. Thom’s isotopy theorem, critical sets, apparent contours. Landau varieties, singularities of Landau varieties, incidence relations for Landau varieties.Exaggerate 发表于 2025-3-22 19:32:52
Ramification around Landau varietiesation, Picard’s formula, Lefschetz’ formula, ramification type, invariant classes, proof of the Picard-Lefschetz formula. Study of certain singular points of Landau varieties, application of the Picard-Lefschetz formula.Mangle 发表于 2025-3-22 22:29:19
Ramification of an integral whose integrand is itself ramified covering spaces of a space. Generalized Picard-Lefschetz formulae, application to the ramification of an integral, generalization to “relative” homology. Appendix on relative homology and families of supports.absolve 发表于 2025-3-23 04:30:16
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0172-5939 tary references provide a convenient guide to subjects cover.Bringing together two fundamental texts from Frédéric Pham’s research on singular integrals, the first part of this book focuses on topological and geometrical aspects while the second explains the analytic approach. Using notions develope