Compact convergence, deformation of the $L^2$-$\overline{\partial }$-complex and canonical $K$-homology classes

Francesco Bei

Let $(X,\gamma )$ be a compact, irreducible Hermitian complex space of complex dimension $m$ and with $\dim (\mathrm{sing}(X))=0$. Let $(F,\tau )\to X$ be a Hermitian holomorp…