Title: Concentration of curvature and Lipschitz invariants of holomorphic functions of two variables,
Abstract: By combining analytic and geometric viewpoints on the concentration of the
curvature of the Milnor fibre, we prove that Lipschitz homeomorphisms preserve
the zones of multi-scale curvature concentration as well as the gradient canyon
structure of holomorphic functions of two variables. This yields the first new
Lipschitz invariants after those discovered by Henry and Parusinski in 2003.