Equivariant indices of vector fields and 1-forms

Wolfgang Ebeling; Sabir M. Gusein-Zade

doi:10.1007/s40879-015-0036-6

Equivariant indices of vector fields and 1-forms

Wolfgang Ebeling^*
, Sabir M. Gusein-Zade

^*Korrespondierende*r Autor*in für diese Arbeit

Institut für Algebraische Geometrie

Lomonosov Moscow State University

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Abstract

Equivariant versions of the radial index and of the GSV-index of a vector field or a 1-form on a singular variety with an action of a finite group are defined. They have values in the Burnside ring of the group. Poincaré–Hopf type theorems for them are proven and some of their properties are described.

Originalsprache	Englisch
Seiten (von - bis)	286-301
Seitenumfang	16
Fachzeitschrift	European Journal of Mathematics
Jahrgang	1
Ausgabenummer	2
DOIs	https://doi.org/10.1007/s40879-015-0036-6
Publikationsstatus	Veröffentlicht - 1 Juni 2015

ASJC Scopus Sachgebiete

Allgemeine Mathematik

Zugriff auf Dokument

10.1007/s40879-015-0036-6

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title = "Equivariant indices of vector fields and 1-forms",

abstract = "Equivariant versions of the radial index and of the GSV-index of a vector field or a 1-form on a singular variety with an action of a finite group are defined. They have values in the Burnside ring of the group. Poincar{\'e}–Hopf type theorems for them are proven and some of their properties are described.",

keywords = "1-Forms, Burnside ring, Finite group action, Index, Singularities, Vector fields",

author = "Wolfgang Ebeling and Gusein-Zade, \{Sabir M.\}",

note = "Funding information: Partially supported by the DFG (Mercator fellowship, Eb 102/8–1), the Russian government grant 11.G34.31.0005, RFBR–13-01-00755, and NSh–4850.2012.1.",

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doi = "10.1007/s40879-015-0036-6",

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T1 - Equivariant indices of vector fields and 1-forms

AU - Ebeling, Wolfgang

AU - Gusein-Zade, Sabir M.

N1 - Funding information: Partially supported by the DFG (Mercator fellowship, Eb 102/8–1), the Russian government grant 11.G34.31.0005, RFBR–13-01-00755, and NSh–4850.2012.1.

PY - 2015/6/1

Y1 - 2015/6/1

N2 - Equivariant versions of the radial index and of the GSV-index of a vector field or a 1-form on a singular variety with an action of a finite group are defined. They have values in the Burnside ring of the group. Poincaré–Hopf type theorems for them are proven and some of their properties are described.

AB - Equivariant versions of the radial index and of the GSV-index of a vector field or a 1-form on a singular variety with an action of a finite group are defined. They have values in the Burnside ring of the group. Poincaré–Hopf type theorems for them are proven and some of their properties are described.

KW - 1-Forms

KW - Burnside ring

KW - Finite group action

KW - Index

KW - Singularities

KW - Vector fields

UR - https://www.scopus.com/pages/publications/84958691176

UR - https://arxiv.org/abs/1307.2054

U2 - 10.1007/s40879-015-0036-6

DO - 10.1007/s40879-015-0036-6

M3 - Article

AN - SCOPUS:84958691176

SN - 2199-675X

VL - 1

SP - 286

EP - 301

JO - European Journal of Mathematics

JF - European Journal of Mathematics

IS - 2

ER -