Bounding Poincaré-Hopf indices and Milnor numbers

✍ Scribed by Marcio G. Soares

• Publisher: John Wiley and Sons
• Year: 2005
• Tongue: English
• Weight: 152 KB
• Volume: 278
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200310265

✦ Synopsis

Abstract

We use Mather's finite determinacy theory and Baum‐Bott's theorem to give sharp bounds for the Poincaré‐Hopf index of a germ of homolorphic vector field with an isolated zero. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)