The Graded Cobordism Group of Codimension-One Immersions

被引：0
|
作者：
L. Funar
R. Gini
机构：
[1] University of Grenoble I,Institut Fourier BP 74, UMR 5582 CNRS
[2] University of Pisa,Department of Mathematics
来源：
Geometric & Functional Analysis GAFA | 2002年 / 12卷
关键词：
Group Structure; Spectral Sequence; Explicit Computation; Natural Filtration; Cellular Decomposition;
D O I：
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学科分类号：
摘要：
The cobordism group N(Mn) of codimension-one immersions in the n-manifold Mn has a natural filtration induced by any cellular decomposition. The problem addressed in this paper is the explicit computation of the graded group gr*N(Mn). We introduce some new invariants for immersions enlightening the Atiyah–Hirzebruch spectral sequence associated to N(M), which are of combinatorial-geometric nature. Explicit computations are developed for n ≤ 7, and the group structure is also investigated for orientable 4-manifolds.
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页码：1235 / 1264
页数：29
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