The converse to a theorem of Conner and Floyd

Allan L. Edelson

Vol. 57 (1975), No. 1, 109–112

DOI: 10.2140/pjm.1975.57.109

Abstract

If W²ⁿ is a manifold with almost complex structure J;τ(W) → τ(W) on its tangent bundle, then a conjugation on W is a smooth involution T : W²ⁿ → W²ⁿ whose differential anti-commutes with J, i.e., T_∗J = −JT_∗. Examples of such actions are those induced by complex conjugation of coordinates in Pⁿ(C) and H_m,n(C) having fixed point sets Pⁿ(R) and H_m,n(R) respectively.

Mathematical Subject Classification

Primary: 57D85

Milestones

Received: 8 July 1974

Published: 1 March 1975