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

DOI10.1070/RM1979v034n02ABEH002903zbMath0431.58010OpenAlexW2009253113MaRDI QIDQ3868494

Vladimir I. Arnold

Publication date: 1979

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1979v034n02abeh002903

zbMATH Keywords

Euler characteristicinvariants of reflection groupsindices of critical points of functions on the boundary of a manifoldindices of simple boundary singularitiesindices of singular points of 1-forms on a manifold with boundaryindices of singular points of adapted vector fieldssignatures of quadratic forms on local ringssingular projections of smooth surfaces

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Differential forms in global analysis (58A10) Critical points and critical submanifolds in differential topology (57R70) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Local and nonlocal bifurcation theory for dynamical systems (37G99) General binary quadratic forms (11E16)

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