ADAMS OPERATORS AND FIXED POINTS

Abstract

Abstract. The aim of this article is to calculate the Conner–Floyd invariants of the fixed points of the action of a cyclic group, by analogy with Adams operators. We shall correct the mistakes made in a previous article. First of all, let me state that Appendices 3 and 4 in my article [2] contain fundamental errors. In particular, an internal contradiction in the formulas of Theorem 3 in Appendix 4 was pointed out to me by G. G. Kasparov, a student of the mechanico-mathematics faculty of Moscow State University. I am grateful to him. The main aim of this article is to calculate definitively the Conner–Floyd func-tions α2n−1(x1,..., xn) or fixed points by means of “Adams operators ” in cobordism theory, introduced by the author in [2]1. I. Correction of the errors in Appendix 3 in the article [2] In Appendix 3 in the article [2], Lemma 1 and the construction of the cell com-plexes SX in the general homology theory of X ∗ are incorrect. The basic Theorem 1 of this appendix is correct, since it follows from the Adams spectral sequence in the cobordism theory (this was shown in a footnote on p. 945). Here, by definition we must have U∗(X,A) = U∗(X), k∗(Z),K∗(X), H∗(X) for A =