CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  Publicationsjournals
Publications        
Search results

Search: MSC category 57S25 ( Groups acting on specific manifolds )

  Expand all        Collapse all Results 1 - 1 of 1

1. CMB 1998 (vol 41 pp. 374)

Young, Carmen M.
Normal invariants of lens spaces
We show that normal and stable normal invariants of polarized homotopy equivalences of lens spaces $M = L(2^m;\r)$ and $N = L(2^m;\s)$ are determined by certain $\ell$-polynomials evaluated on the elementary symmetric functions $\sigma_i(\rsquare)$ and $\sigma_i(\ssquare)$. Each polynomial $\ell_k$ appears as the homogeneous part of degree $k$ in the Hirzebruch multiplicative $L$-sequence. When $n = 8$, the elementary symmetric functions alone determine the relevant normal invariants.

Categories:57R65, 57S25

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/