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Título del libro: Vector Fields On Singular Varieties Título del capítulo: Indices for 1-Forms
Autores UNAM: JOSE ANTONIO SEADE KURI;
Autores externos: Idioma: InglésAño de publicación: 2009Resumen:
When considering smooth (real) manifolds, the tangent and cotangent bundles are isomorphic and it does not make much difference to consider either vector fields or 1-forms in order to define their indices and their relations with characteristic classes. When the ambient space is a complex manifold, this is no longer the case, but there are still ways for comparing indices of vector fields and 1-forms, and to use these to study Chern classes of manifolds. To some extent this is also true for singular varieties, but there are however important differences and each of the two settings has its own advantages. In this chapter we briefly review the various indices of 1-forms on singular varieties through the light of the indices of vector fields discussed earlier. We define in that way the Schwartz index, the radial index, the GSV index, the homological index and the local Euler obstruction, and we study some of their relations and properties. In this short presentation we include work done
Entidades citadas de la UNAM:
Fuente:
ISBN: 9783642052040 Editorial: SPRINGER-VERLAG BERLIN