浸没的多重点的配边类
代数拓扑
2014-10-01 v3
摘要
设 f: M -> N 为光滑流形之间的偶余维浸没。我们导出了多重点流形的 Pontrjagin 数与符号差关于 M 与 N 的奇异上同调、f 所诱导的这些上同调之间的映射以及法丛特征类的显式公式。主要技巧是通过使用（广义）形式幂级数求解上同调中的一个递归。
引用
@article{arxiv.math/0409574,
title = {The cobordism class of the multiple points of immersions},
author = {Gábor Braun},
journal= {arXiv preprint arXiv:math/0409574},
year = {2014}
}
备注
17 pages; LaTeX2e document, use of eLaTeX recommended, non-standard packages: xy, pxfonts, pbox. Accepted by Algebraic Geometry and Topology. Corrections and clarifications mainly due to the referee of the journal