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

2010/08/30 by Reis, Rui M. G., Weiss, Michael S.
#57R45 (Primary) 57R35 #57R70 (Secondary) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1008.5104

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.

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