Eisenbud–Levine–Khimshiashvili signature formula

id: eisenbud-levine-khimshiashvili-signature-formula-320-13904872
title: Eisenbud–Levine–Khimshiashvili signature formula
text: In mathematics, and especially differential topology and singularity theory, the Eisenbud–Levine–Khimshiashvili signature formula gives a way of computing the Poincaré–Hopf index of a real, analytic vector field at an algebraically isolated singularity. It is named after David Eisenbud, Harold I. Levine, and George Khimshiashvili. Intuitively, the index of a vector field near a zero is the number of times the vector field wraps around the sphere. Because analytic vector fields have a rich algebr
brand slug: wiki
category slug: encyclopedia
description: Computes the Poincaré–Hopf index of a real, analytic vector field at a singularity
original url: https://en.wikipedia.org/wiki/Eisenbud%E2%80%93Levine%E2%80%93Khimshiashvili_signature_formula
date created:
date modified: 2022-11-06T14:40:59Z
main entity: {"identifier":"Q5349904","url":"https://www.wikidata.org/entity/Q5349904"}
image:
fields total: 13
integrity: 14

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