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Iterated Spinning and Homology Spheres
1990
Transactions of the American Mathematical Society
Preserved Fulltext
Given a closed n-manifold M n and a tuple of positive integers P, let upM be the P-spin of M. If M n ' f!. Sn and P f. Q (as unordered tuples), it is shown that upM'f!. uQM if either (I) H. (Mn) ' 1-H.(Sn), (2)1!' I M finite, (3) M aspherical, or (4) n = 3. Applications to the homotopy classification of homology spheres and knot exteriors are given.
doi:10.2307/2001595
fatcat:dh5cjv5cprauhbgglhxveedm2u