Obstructions to the existence of fold maps
- Autores: Rustam Sadykov, Osamu Saeki, Kazuhiro Sakuma
- Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 81, Nº 2, 2010, págs. 338-354
- Idioma: inglés
- DOI: 10.1112/jlms/jdp072
- Enlaces
-
Resumen
We study smooth maps between smooth manifolds with only fold points as their singularities, and clarify the obstructions to the existence of such a map in a given homotopy class for certain dimensions. The obstructions are described in terms of characteristic classes, which arise as Postnikov invariants, and can be interpreted as primary and secondary obstructions to the elimination of certain singularities. We also discuss the relationship between the existence problem of fold maps and that of vector fields of stabilized tangent bundles.
¿Es nuevo? Regístrese
Ventajas de registrarse
