English

Secondary Brown-Kervaire Quadratic forms and $\pi$-manifolds

Algebraic Topology 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0106256,
  title  = {Secondary Brown-Kervaire Quadratic forms and $\pi$-manifolds},
  author = {Fuquan Fang and Jianzhong Pan},
  journal= {arXiv preprint arXiv:math/0106256},
  year   = {2007}
}