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Structure sets vanish for certain bundles over Seifert manifolds

1984
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Transactions of the American Mathematical Society
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Let M" + i be a compact orientable manifold which is the total space of a fiber bundle over a compact orientable manifold K3 with an effective circle action of hyperbolic type. Assume that the fiber N" in this bundle is a closed orientable manifold with Noetherian integral group ring, with vanishing projective class and Whitehead groups, and such that the structure set SJOP(N" X Dk, 3) of topological surgery vanishes for sufficiently large k. Then the projective class and Whitehead groups of M

doi:10.1090/s0002-9947-1984-0752493-3
fatcat:ddyr6ckxyvfzxisgsacayljdli