Abstract:We first prove the following: Let p ≥ 2 and p ∈ N. Let K and J be closed, oriented, (2p + 1)-dimensional connected, (p − 1)-connected, simple submanifolds of S 2p+3 . Then K and J are isotopic if and only if a Seifert matrix associated with a simple Seifert hypersurface for K is (−1) p -S-equivalent to that for J. We also discuss the p = 1 case.This result implies one of our main results:It also implies the other of our main results: We strengthen the authors' old result that two-fold cyclic suspension commute… Show more
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