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arXiv · 1506.04873

Cross-cap singularities counted with sign

Iwona Krzyżanowska
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Abstract

There is presented a method for computing the algebraic number of cross-cap singularities for mapping from m dimensional compact manifold with boundary M into R^(2m-1), m is odd. As an application, the intersection number of an immersion g from (m-1)-dimensional sphere to R^(2m-2) is described as the algebraic number of cross-caps of a mapping naturally associated with g.

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Iwona Krzyżanowska. 2015-06-16. Cross-cap singularities counted with sign. https://arxiv.org/abs/1506.04873

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