CAUCHY INTEGRALS AND MOBIUS GEOMETRY OF CURVES

摘要

Define a line bundle E over the Riemann sphere C = CU {00} by gluing together two copies of C x C using the transition mapping (2, w) 1-> (l/z,iw/z). Since the square of this bundle is the holomorphic cotangent bundle of C it is reasonable to use the notation f(z) /dz for sections of E.