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Stratified Picard-Lefschetz theory

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Abstract

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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Authors and Affiliations

  1. Steklov Mathematical Institute, 42 Vavilova st, 117966, Moscow, GSP-1/Russia

    Victor A. Vassiliev

  2. Independent Moscow University, USSR

    Victor A. Vassiliev

Authors
  1. Victor A. Vassiliev
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To Robert MacPherson

Research supported by International Science Foundation (grant MQO 000).

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Vassiliev, V.A. Stratified Picard-Lefschetz theory. Selecta Mathematica, New Series 1, 597–621 (1995). https://doi.org/10.1007/BF01589499

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