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The graded cobordism group of codimension-one immersions | | Louis Funar
; Rosa Gini
; | | Date: |
3 Apr 2001 | | Journal: | G.A.F.A. 12(2002), 1235-1264. | | Subject: | Geometric Topology MSC-class: 57 M 50, 57 M 10 | math.GT | | Abstract: | The cobordism group $N(M^n)$ of codimension-one immersions in the $n$-manifold $M^n$ has a natural filtration induced by any cellular decomposition. The problem addressed in this paper is the explicit computation of the graded group $gr^*N(M^n)$. 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 $nleq7$, and the group structure is also investigated for orientable 4-manifolds. | | Source: | arXiv, math.GT/0104037 | | Services: | Forum | Review | PDF | Favorites | |
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