ON COBORDISM OF MANIFOLDS WITH CORNERS
ON COBORDISM OF MANIFOLDS WITH CORNERS
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论带角流形的共配
DOI：
10.1090/s0002-9947-00-02676-3
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发表时间：
2000
影响因子：
1.3
通讯作者：
G. Laures
中科院分区：
文献类型：
--
作者：
G. Laures
本文建立了角点流形的配边理论，并给出了与Thom谱的某一极限同伦的一个恒等式。因此，它创建了一个几何解释的亚当斯-诺维科夫决议，并奠定了基础，调查的色彩状况的元素，从而实现。作为一个应用，李群和它们的左不变框架通过把它们看作具有有趣的陈数的流形的角来计算。这项工作还显示了椭圆上同调可以提供有用的不变量的流形余维2。
This work sets up a cobordism theory for manifolds with corners and gives an identication with the homotopy of a certain limit of Thom spectra. It thereby creates a geometrical interpretation of Adams-Novikov resolutions and lays the foundation for investigating the chromatic status of the elements so realized. As an application Lie groups together with their left invariant framings are calculated by regarding them as corners of manifolds with interesting Chern numbers. The work also shows how elliptic cohomology can provide useful invariants for manifolds of codimension 2.