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Secondary Brown-Kervaire Quadratic forms and $π$-manifolds

Fuquan Fang·Jianzhong Pan
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Abstract

In this paper we define a secondary Brown-Kervaire quadratic forms. Among the applications we obtain a complete classification of (n-2)-connected 2n-dimensional framed manifolds up to homeomorphism and homotopy equivalence, . In particular, we prove that the homotopy type of such manifolds determine their homeomorphism type.

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Fuquan Fang, Jianzhong Pan. 2001-06-29. Secondary Brown-Kervaire Quadratic forms and $π$-manifolds. https://arxiv.org/abs/math/0106256

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