On the topology of isolated singularities in analytic spaces (Q817930)

The present book is a monograph on the topology of real and complex analytic spaces around an isolated singular point. The first chapters are dedicated mostly to complex singularities; they contain the classical theory of Milnor (chap. 1), the relation between 3-dimensional Lie groups and 2-dimensional complex singularities (chap. 2 and 3), special cases of the general index theorem of Atiyah-Singer (chap. 4), the geometry and topology of quadrics in \(\mathbb{CP}^n\), based on the author's results. The last chapters are about the interplay between complex geometry and real analytic singularities. Chapter 6 contains the necessary material for constructing and studying infinite families of singularities satisfying the strong Milnor condition (chapter 7). Chapter 8 is based on the results of the author on real singularities and open book decomposition of the 3-sphere. The book is written in a clear and accessible style, for graduates, postgraduates and researchers in complex analysis, geometry and topology.