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2008

A classification of smooth embeddings of 4-manifolds in 7-space, II

Crowley, Diarmuid, Skopenkov, Arkadiy

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Let N be a closed, connected, smooth 4-manifold with H_1(N;Z)=0.

Our main result is the following classification of the set E^7(N) of smooth embeddings N->R^7 up to smooth isotopy.
Haefliger proved that the set E^7(S^4) with the connected sum operation is a group isomorphic to Z_{12}.
This group acts on E^7(N) by embedded connected sum.

A classification of smooth embeddings of 4-manifolds in 7-space, II · Around

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, MR0065155 (16,389a)
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, English transl
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