On Analytic Todd Classes of Singular Varieties
Let (X,h) be a compact and irreducible Hermitian complex space. This paper is devoted to various questions concerning the analytic K-homology of (X,h). In the 1st part, assuming either dim(sing(X))=0 or dim(X)=2, we show that the rolled-up operator of the minimal L2-Dolbeault- complex, denoted here ð_rel, induces a class in K_0(X)≡KK_0(C(X),C). A similar result, assuming dim(sing(X))=0, is proved also for ð_abs, the rolled-up operator of the maximal L2-Dolbeault-complex.