Details
Original language | English |
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Title of host publication | The Arnoldfest |
Subtitle of host publication | Proceedings of a conference in honour of V. I. Arnold for his 60th birthday, Toronto, Canada, June 15-21, 1997. |
Editors | Edward Bierstone, Boris Khesin, Askold G. Khovanskii, Jerold E. Marsden |
Place of Publication | Providence, Rhode Island |
Publisher | American Mathematical Society |
Pages | 141-152 |
Number of pages | 12 |
ISBN (print) | 978-0821809457 |
Publication status | Published - 1999 |
Publication series
Name | Field Institute Communications |
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Publisher | American Mathematical Society |
Volume | 24 |
ISSN (Print) | 1069-5265 |
Abstract
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The Arnoldfest: Proceedings of a conference in honour of V. I. Arnold for his 60th birthday, Toronto, Canada, June 15-21, 1997.. ed. / Edward Bierstone; Boris Khesin; Askold G. Khovanskii; Jerold E. Marsden. Providence, Rhode Island: American Mathematical Society, 1999. p. 141-152 (Field Institute Communications; Vol. 24).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - On the index of a vector field at an isolated singularity
AU - Ebeling, Wolfgang
AU - Gusein-Zade, Sabir M.
N1 - AMS-LaTeX, 11 p. with 1 fig.; remarks, definition, and references added to Section 1
PY - 1999
Y1 - 1999
N2 - 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
AB - 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
UR - https://zbmath.org/?q=an%3A0942.57024
UR - https://arxiv.org/abs/alg-geom/9710008
M3 - Conference contribution
SN - 978-0821809457
T3 - Field Institute Communications
SP - 141
EP - 152
BT - The Arnoldfest
A2 - Bierstone, Edward
A2 - Khesin, Boris
A2 - Khovanskii, Askold G.
A2 - Marsden, Jerold E.
PB - American Mathematical Society
CY - Providence, Rhode Island
ER -