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On the index of a vector field at an isolated singularity

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung › Peer-Review

Autorschaft

  • Wolfgang Ebeling
  • Sabir M. Gusein-Zade

Organisationseinheiten

Externe Organisationen

  • Lomonosov Moscow State University

Details

OriginalspracheEnglisch
Titel des SammelwerksThe Arnoldfest
UntertitelProceedings of a conference in honour of V. I. Arnold for his 60th birthday, Toronto, Canada, June 15-21, 1997.
Herausgeber/-innenEdward Bierstone, Boris Khesin, Askold G. Khovanskii, Jerold E. Marsden
ErscheinungsortProvidence, Rhode Island
Herausgeber (Verlag)American Mathematical Society
Seiten141-152
Seitenumfang12
ISBN (Print)978-0821809457
PublikationsstatusVeröffentlicht - 1999

Publikationsreihe

NameField Institute Communications
Herausgeber (Verlag)American Mathematical Society
Band24
ISSN (Print)1069-5265

Abstract

We consider manifolds with isolated singularities, i.e., topological spaces which are manifolds (say, C∞) outside discrete subsets (sets of singular points). For (germs of) manifolds with, so-called, cone-like singularities, a notion of the index of an isolated singular point of a vector field is introduced. There is given a formula for the index of a gradient vector field on a (real) isolated complete intersection singularity. The formula is in terms of signatures of certain quadratic forms on the corresponding spaces of thimbles

Zitieren

On the index of a vector field at an isolated singularity. / Ebeling, Wolfgang; Gusein-Zade, Sabir M.
The Arnoldfest: Proceedings of a conference in honour of V. I. Arnold for his 60th birthday, Toronto, Canada, June 15-21, 1997.. Hrsg. / Edward Bierstone; Boris Khesin; Askold G. Khovanskii; Jerold E. Marsden. Providence, Rhode Island: American Mathematical Society, 1999. S. 141-152 (Field Institute Communications; Band 24).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung › Peer-Review

Ebeling, W & Gusein-Zade, SM 1999, On the index of a vector field at an isolated singularity. in E Bierstone, B Khesin, AG Khovanskii & JE Marsden (Hrsg.), The Arnoldfest: Proceedings of a conference in honour of V. I. Arnold for his 60th birthday, Toronto, Canada, June 15-21, 1997.. Field Institute Communications, Bd. 24, American Mathematical Society, Providence, Rhode Island, S. 141-152.
Ebeling, W., & Gusein-Zade, S. M. (1999). On the index of a vector field at an isolated singularity. In E. Bierstone, B. Khesin, A. G. Khovanskii, & J. E. Marsden (Hrsg.), The Arnoldfest: Proceedings of a conference in honour of V. I. Arnold for his 60th birthday, Toronto, Canada, June 15-21, 1997. (S. 141-152). (Field Institute Communications; Band 24). American Mathematical Society.
Ebeling W, Gusein-Zade SM. On the index of a vector field at an isolated singularity. in Bierstone E, Khesin B, Khovanskii AG, Marsden JE, Hrsg., The Arnoldfest: Proceedings of a conference in honour of V. I. Arnold for his 60th birthday, Toronto, Canada, June 15-21, 1997.. Providence, Rhode Island: American Mathematical Society. 1999. S. 141-152. (Field Institute Communications).
Ebeling, Wolfgang ; Gusein-Zade, Sabir M. / On the index of a vector field at an isolated singularity. The Arnoldfest: Proceedings of a conference in honour of V. I. Arnold for his 60th birthday, Toronto, Canada, June 15-21, 1997.. Hrsg. / Edward Bierstone ; Boris Khesin ; Askold G. Khovanskii ; Jerold E. Marsden. Providence, Rhode Island : American Mathematical Society, 1999. S. 141-152 (Field Institute Communications).
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