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arxiv: math/0106256 · v1 · submitted 2001-06-29 · 🧮 math.AT

Secondary Brown-Kervaire Quadratic forms and π-manifolds

classification 🧮 math.AT
keywords manifoldsbrown-kervaireformshomeomorphismhomotopyquadraticsecondarytype
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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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