Morse Theory, Stratifications and Sheaves

Mark Goresky ()
Additional contact information
Mark Goresky: Institute for Advanced Study, School of Mathematics

Chapter Chapter 5 in Handbook of Geometry and Topology of Singularities I, 2020, pp 275-319 from Springer

Abstract: Abstract After the local topological structure of stratified spaces was determined by R. Thom (Bull. Amer. Math. Soc., 75 (1969), 240–284) and J. Mather (Notes on topological stability, lecture notes, Harvard University, 1970) it became possible (see Kashiwara and Schapira, Sheaves on Manifolds, Grundlehren der math. Wiss. 292, Springer Verlag Berlin, Heidelberg, 1990; Goresky and MacPherson, Stratified Morse Theory, Ergebnisse Math. 14, Springer Verlag, Berlin, Heidelberg, 1988; Schürmann, Topology of Singular Spaces and Constructible Sheaves, Monografie Matematyczne 63, Birkhäuser Verlag, Basel, 2003) to analyze constructible sheaves on a stratified space using Morse theory. Although the detailed proofs are formidable, the statements and main ideas are simple and intuitive. This article is a survey of the constructions and results surrounding this circle of ideas.

Date: 2020
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:978-3-030-53061-7_5

Ordering information: This item can be ordered from
http://www.springer.com/9783030530617

DOI: 10.1007/978-3-030-53061-7_5

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 ().