Leseprobe
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Characteristic Classes. (AM-76), Volume 76
James D. Stasheff, John Milnor
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds.
In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers.
Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected.
Kundenbewertungen
Chern class, Leibniz integral rule, Orthonormal basis, Eilenberg–Steenrod axioms, Stiefel–Whitney class, Euler number, Principal ideal domain, Differential operator, Characteristic class, K-theory, Linear map, Vector space, CW complex, Natural number, Open set, Symmetric function, Tangent bundle, Euler class, Levi-Civita connection, Existence theorem, Complex vector bundle, Fundamental class, Normal bundle, Gysin sequence, Orthogonal group, Polynomial, Dimension, Vector bundle, Dimension (vector space), Cohomology, Steenrod algebra, Thom space, Continuous function, Identity element, Canonical map, Cohomology ring, De Rham cohomology, Isomorphism class, Smoothness, Riemannian manifold, Subgroup, Compact space, Complex manifold, Homotopy, General linear group, Projection (mathematics), Charles Ehresmann, Classifying space, Diffeomorphism, Basis (linear algebra), Orthogonal complement, Theorem, Topology, Grassmannian, J-homomorphism, Equivalence class, Coordinate space, Fiber bundle, Subset, Differentiable manifold, Unit disk, Axiom, Fundamental group, Interior (topology), Coefficient, Cross product, Special case, Variable (mathematics), Existential quantification, Homology (mathematics)