Le Cycles and Hypersurface Singularities

This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the L cycles of the hypersurface. The L cycles and their multiplicities - the L numbers - provide effectively calculable data which generalizes the Milnor number of an isolated singularity to the case of singularities of arbitrary dimension. The L numbers control many topological and geometric properties of such non-isolated hypersurface singularities. This book is intended for graduate students and researchers interested in complex analytic singularities.