Exotic characteristic classes and their relation to universal surgery classes

A note on conjugation involutions on homotopy complex projective spaces

“…Then every smooth homotopy projective space Y2n is tangentially homotopy equivalent to a homotopy projective space X2n with a smooth conju gation type involution, i.e, an involution whose fixed set is a cohomology real projective space. The following proposition is a corollary of the results of [3]: PROPOSITION 1. Let g; CPnSF be a map.…”

On tertiary exotic characteristic classes

“…for secondary characteristic classes, Gitler and Stasheff [3] constructed the first nonzero secondary class which turned out to be the first in a series of nontrivial secondary classes constructed by Peterson [8] and Ravenel [11] for any prime p using twisted secondary cohomology operations. Hegenbarth and Heil [4], [5], [6] did this by using ordinary secondary cohomology operations (SCO) for p = 2; the author has extended their work for any odd prime [12].…”