arXiv:1506.04873 Abstract | arXiv Analytics

arXiv:1506.04873 [math.AG]Abstract References Reviews Resources

Cross-cap singularities counted with sign

Published 2015-06-16Version 1

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.

Categories: math.AG

Subjects: 14P25, 57R45, 57R42, 12Y05

Keywords: cross-cap singularities, algebraic number, dimensional compact manifold, intersection number, application

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