INVOLUTIONS WITH NONZERO ARF INVARIANT BY ISRAEL BERSTEIN 1 Communicated by

  • F. P. Peterson
  • Published 2007
Browder and Livesay [ l ] have associated with each differentiate fixed point free involution T: 2«—>S«, where 2 =2« 1 is a homotopy sphere, a "signature" <rÇ2, T) £f Z(^0 mod 8) if q is odd, or an "Arf invariant" c(2, T) £ ^2, if q is even. If q à 3, then 2 contains a differentially imbedded 2^-sphere invariant with respect to T if and only if<r(2, T) 0 or… CONTINUE READING