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arXiv 1506.04873math.AG
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带符号的交叉帽奇点计数

Cross-cap singularities counted with sign

Iwona Krzyżanowska

摘要:

给出了m维紧致带边流形流形M到R^(2 m-1)(m为奇数)的映射的交叉帽奇点代数数的计算方法.作为一个应用,将(m-1)维球面到R^(2 m-2)的浸入g的相交数描述为与g自然相关的映射的交叉帽的代数数.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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