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math.AG2015★ 1 cited
Mappings into the Stiefel manifold and cross-cap singularities
Iwona Krzyżanowska, Aleksandra Nowel
Take n>k>1 such that n-k is odd. In this paper we consider mapping a from (n-k+1)-dimensional closed ball into the space of (n \times k)--matrices such that its restriction to a sp…
math.AG2015★ 1 cited
Cross-cap singularities counted with sign
Iwona Krzyżanowska
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. A…