Homotopy types of total spaces of S^{2k-1}-bundles over S^{2k} are classified for 2≤k≤6, with a negative answer to a conjecture for k=4 via new equivalence conditions and attaching map formulas.
Zhu, The unstable homotopy groups of 2-cell complexes, arxiv:2410.20416v2
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Homotopy classification of $S^{2k-1}$-bundles over $S^{2k}$
Homotopy types of total spaces of S^{2k-1}-bundles over S^{2k} are classified for 2≤k≤6, with a negative answer to a conjecture for k=4 via new equivalence conditions and attaching map formulas.