Radial index and Poincaré–Hopf index of 1-forms on semi-analytic sets
DOI10.1017/S0305004109990338zbMath1198.14002arXiv0903.2137MaRDI QIDQ3550756
Publication date: 6 April 2010
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.2137
complete intersectionsEuler characteristicmanifolds with boundarymanifolds with cornersPoincaré-Hopf indexWhitney stratificationradial indexradial manifold complexsemi-analitic curvessingular semi-analytic sets
Singularities in algebraic geometry (14B05) Complete intersections (14M10) Differential forms in global analysis (58A10) Singularities of vector fields, topological aspects (58K45) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Critical points and critical submanifolds in differential topology (57R70) Differentiable maps on manifolds (58C25)
Related Items (1)
Cites Work
- On the Euler characteristics of real Milnor fibres of partially parallelizable maps of \((\mathbb{R}^n, 0)\) to \((\mathbb{R}^{2},0)\)
- Flags in zero dimensional complete intersection algebras and indices of real vector fields
- On the number of branches of a plane curve germ
- On the number of branches of an 1-dimensional semianalytic set
- An algebraic formula for the degree of a \(C^\infty\) map germ. Sur une inegalite a la Minkowski pour les multiplicites
- A formula for the Euler characteristic of a real algebraic manifold
- The index of a vector field tangent to a hypersurface and the signature of the relative Jacobian determinant
- One-forms on singular curves and the topology of real curve singularities
- Courbures et singularités réelles. (Curvatures and real singularities)
- Champs totalement radiaux sur une structure de Thom-Mather. (Totally radial vector fields on a Thom-Mather space.)
- A residue formula for the index of a holomorphic flow
- The index of a vector field tangent to an odd-dimensional hypersurface and the signature of the relative Hessian
- Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
- The index of a holomorphic flow with an isolated singularity
- Mapping degree and Euler characteristic
- Radial index and Euler obstruction of a 1-form on a singular variety
- Milnor classes of local complete intersections
- On the Euler characteristic of semi-analytic and semi-algebraic sets
- Real and complex indices of vector fields on complete intersection curves with isolated singularity
- On indices of meromorphic 1-forms
- Shadow Forms of Brasselet-Goresky-MacPherson
This page was built for publication: Radial index and Poincaré–Hopf index of 1-forms on semi-analytic sets