3-manifolds and 4-dimensional surgery
| dc.creator | Yamasaki, Masayuki | |
| dc.date | 2006-10-25 | |
| dc.date.accessioned | 2026-07-07T07:29:24Z | |
| dc.date.available | 2026-07-07T07:29:24Z | |
| dc.description | Let $X$ be a connected compact 3-manifold with non-empty boundary. Consider the boundary $M$ of $X\times D^2$. $M$ is a 4-dimensional closed manifold and has the same fundamental group as $X$. Various examples of $X$ are known for which a certain assembly map $A:H_4(X;L)\to L_4(π_1(X))$ is injective. For such an $X$ and any CW-spine $B$ of $X$, there is a $UV^1$-map $p:M\to B$. For any $ε>0$, if the surgery obstruction for a TOP normal map $(f,b):N\to M$ vanishes, we can perform surgery on $f$ to change it into a $p^{-1}(ε)$-controlled homotopy equivalence. | |
| dc.description | AMS-LaTeX, 4 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0610741 | |
| dc.identifier | http://arxiv.org/abs/math/0610741 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118095 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R67 | |
| dc.title | 3-manifolds and 4-dimensional surgery | |
| dc.type | text |