INDICES OF SINGULAR POINTS OF 1-FORMS ON A MANIFOLD WITH BOUNDARY, CONVOLUTION OF INVARIANTS OF REFLECTION GROUPS, AND SINGULAR PROJECTIONS OF SMOOTH SURFACES

Abstract

CONTENTSIntroduction § 1. Singularities and their indices § 2. A theorem on the sum of indices § 3. Indices of singular points of adapted vector fields § 4. Connection between the indices of fields and forms § 5. Covering indices § 6. Algebraic definitions § 7. Indices of critical points of functions on the boundary of a manifold § 8. Indices of simple boundary singularities § 9. Duality § 10. Some applicationsReferences