The graded cobordism group of codimension-one immersions
| dc.creator | Funar, Louis | |
| dc.creator | Gini, Rosa | |
| dc.date | 2001-04-03 | |
| dc.date | 2002-09-24 | |
| dc.date.accessioned | 2026-07-07T04:40:57Z | |
| dc.date.available | 2026-07-07T04:40:57Z | |
| dc.description | 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 $n\leq7$, and the group structure is also investigated for orientable 4-manifolds. | |
| dc.description | revised version, G.A.F.A. (to appear), 23p., 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0104037 | |
| dc.identifier | http://arxiv.org/abs/math/0104037 | |
| dc.identifier | G.A.F.A. 12(2002), 1235-1264. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61221 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57 M 50, 57 M 10 | |
| dc.title | The graded cobordism group of codimension-one immersions | |
| dc.type | text |