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1988 | OriginalPaper | Buchkapitel

Morse Theory of the Complex Link

verfasst von : Mark Goresky, Robert MacPherson

Erschienen in: Stratified Morse Theory

Verlag: Springer Berlin Heidelberg

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This chapter contains the estimates on the connectivity of the Morse data which are necessary for the proofs of the main applications. Since the Morse data is the product of the tangential Morse data with the normal Morse data, this requires estimates on both. The estimates on tangential Morse data are made in terms of the remarkable properties of the Levi form of the Morse function (see the appendix, Sect. 4.A). The normal Morse data is analyzed (inductively) by applying the entire apparatus of Morse theory to the complex link, which is a complex analytic space of smaller dimension.

Metadaten
Titel
Morse Theory of the Complex Link
verfasst von
Mark Goresky
Robert MacPherson
Copyright-Jahr
1988
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-71714-7_19