Stratified Picard--Lefschetz theory

Mathematics – Algebraic Geometry

Scientific paper

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22 pages, 8 figures, uuencoded compressed PostScript file

Scientific paper

The monodromy action in the homology of level sets of Morse functions on stratified singular analytic varieties is studied. The local variation operators in both the standard and the intersection homology groups defined by the loops around the critical values of such functions are reduced to similar operators in the homology groups of the transversal slices of the corresponding strata.

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