Abstract
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.
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© 1988 Springer-Verlag Berlin Heidelberg
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Goresky, M., MacPherson, R. (1988). Morse Theory of the Complex Link. In: Stratified Morse Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71714-7_19
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DOI: https://doi.org/10.1007/978-3-642-71714-7_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-71716-1
Online ISBN: 978-3-642-71714-7
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