Geodesic
A Result in Surgery Theory
Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 508-518

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DOI

We study the topological 4-dimensional surgery problem for a closed connected orientable topological 4-manifold $X$ with vanishing second homotopy and ${{\pi }_{1}}\left( X \right)\,\cong \,A\,*\,F\left( r \right)$ , where $A$ has one end and $F\left( r \right)$ is the free group of rank $r\,\ge \,1$ . Our result is related to a theorem of Krushkal and Lee, and depends on the validity of the Novikov conjecture for such fundamental groups.
DOI : 10.4153/CMB-2008-051-x
Mots-clés : 57N65, 57R67, 57Q10, four-manifolds, homotopy type, obstruction theory, homology with local coefficients, surgery, normal invariant, assembly map 
Cavicchioli, Alberto; Spaggiari, Fulvia. A Result in Surgery Theory. Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 508-518. doi: 10.4153/CMB-2008-051-x
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     title = {A {Result} in {Surgery} {Theory}},
     journal = {Canadian mathematical bulletin},
     pages = {508--518},
     year = {2008},
     volume = {51},
     number = {4},
     doi = {10.4153/CMB-2008-051-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-051-x/}
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