English

Stratified Picard--Lefschetz theory

alg-geom 2015-06-30 v1 dg-ga Algebraic Geometry Differential Geometry

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.

Keywords

Cite

@article{arxiv.alg-geom/9505015,
  title  = {Stratified Picard--Lefschetz theory},
  author = {Victor Vassiliev},
  journal= {arXiv preprint arXiv:alg-geom/9505015},
  year   = {2015}
}

Comments

22 pages, 8 figures, uuencoded compressed PostScript file

R2 v1 2026-07-22T07:41:48.080Z