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Geometry of Characteristic Classes
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Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: American Mathematical Soc.

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Characteristic classes are central to the modern study of the topology and geometry of manifolds. They were first introduced in topology, where, for instance, t
Characteristic Classes
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Authors: John Willard Milnor
Categories: Mathematics
Type: BOOK - Published: 1974 - Publisher: Princeton University Press

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The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomo
Differential Geometry
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Type: BOOK - Published: 2017-06-01 - Publisher: Springer

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This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical developmen
Loop Spaces, Characteristic Classes and Geometric Quantization
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Categories: Mathematics
Type: BOOK - Published: 2009-12-30 - Publisher: Springer Science & Business Media

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This book examines the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics.
Complex Manifolds without Potential Theory
Language: en
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Authors: Shiing-shen Chern
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From the reviews of the second edition: "The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex func