Smooth maps to the plane and Pontryagin classes, Part I: Local aspects

Michael Weiss, Rui Miguel Reis

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We classify the most common local forms of smooth maps from a smooth manifold L to the plane. The word "local" can refer to locations in the source L, but also to locations in the target. The first point of view leads us to a classification of certain germs of maps, which we review here although it is very well known. The second point of view leads us to a classification of certain multigerms of maps.
Original languageEnglish
Pages (from-to)41-67
Number of pages27
JournalPortugaliae Mathematica
Volume69
Issue number1
DOIs
Publication statusPublished - 2012

Keywords

  • singularity
  • left right equivalence
  • unfolding
  • multigerm
  • stratification

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