We study the stable classification of closed connected oriented spin smooth 4-manifolds by using techniques of Kervaire-Milnor surgery. Then we reproduce a nice result of Kurazono and Matumoto [I. Kurazono, T. Matumoto, Hiroshima Math. J. 28, 1998] for such manifolds under the assumption that the fundamental group is finitely presentable and has vanishing second and third homology with Z_2-coefficients.

On the stable classification of spin four-manifolds / Spaggiari, Fulvia. - In: OSAKA JOURNAL OF MATHEMATICS. - ISSN 0030-6126. - STAMPA. - 40:(2003), pp. 835-843.

On the stable classification of spin four-manifolds

SPAGGIARI, Fulvia
2003

Abstract

We study the stable classification of closed connected oriented spin smooth 4-manifolds by using techniques of Kervaire-Milnor surgery. Then we reproduce a nice result of Kurazono and Matumoto [I. Kurazono, T. Matumoto, Hiroshima Math. J. 28, 1998] for such manifolds under the assumption that the fundamental group is finitely presentable and has vanishing second and third homology with Z_2-coefficients.
40
835
843
On the stable classification of spin four-manifolds / Spaggiari, Fulvia. - In: OSAKA JOURNAL OF MATHEMATICS. - ISSN 0030-6126. - STAMPA. - 40:(2003), pp. 835-843.
Spaggiari, Fulvia
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/307156
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