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

Rui M. G. Reis; Michael S. Weiss

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arXiv · 1008.5104

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

Rui M. G. Reis·Michael S. Weiss

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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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Rui M. G. Reis, Michael S. Weiss. 2011-10-03. Smooth maps to the plane and Pontryagin classes, Part I: Local aspects. https://arxiv.org/abs/1008.5104

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