Milnor’s Fibration Theorem for Real and Complex Singularities

José Luis Cisneros-Molina () and José Seade ()
Additional contact information
José Luis Cisneros-Molina: Universidad Nacional Autónoma de México, Instituto de Matemáticas, Unidad Cuernavaca
José Seade: International Research Laboratry CNRS, Laboratorio Solomon Lefschetz

Chapter Chapter 6 in Handbook of Geometry and Topology of Singularities II, 2021, pp 309-359 from Springer

Abstract: Abstract Milnor’s fibration theorem is a landmark in singularity theory; it allowed to deepen the study of the geometry and topology of analytic maps near their critical points. In this chapter we revisit the classical theory and we glance at some areas of current research. We start with a glimpse at the origin of the fibration theorem, which is motivated by the study of exotic spheres. We then discuss an elementary example where all the ingredients of the fibration theorem are described in simple terms, and we use this as a guideline all along the chapter. The first part concerns complex singularities, which is a fairly mature area of mathematics; we survey some of the main steps in this line of research and indicate a wide bibliography as well as relations with other chapters in this book. The second part concerns real singularities, a theory that still is in its youth, though it springs also from Milnor’s seminal work.

Date: 2021
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-78024-1_6

Ordering information: This item can be ordered from
http://www.springer.com/9783030780241

DOI: 10.1007/978-3-030-78024-1_6

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().