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

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

2001-06-29

arxiv.org/abs/math/0106256v1

Mathematics

Algebraic Topology

Scientific paper

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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