Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals

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Springer Science & Business Media, May 16, 2012 - Mathematics - 492 pages
The present volume is the second in a two-volume set entitled Singularities of Differentiable Maps. While the first volume, subtitled Classification of Critical Points and originally published as Volume 82 in the Monographs in Mathematics series, contained the zoology of differentiable maps, that is, it was devoted to a description of what, where, and how singularities could be encountered, this second volume concentrates on elements of the anatomy and physiology of singularities of differentiable functions. The questions considered are about the structure of singularities and how they function.

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Part I The topological structure of isolated critical points of functions
Part II Oscillatory integrals
Part III Integrals of holomorphic forms over vanishing cycles
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