Details
| Original language | English |
|---|---|
| Pages (from-to) | 286-301 |
| Number of pages | 16 |
| Journal | European Journal of Mathematics |
| Volume | 1 |
| Issue number | 2 |
| Publication status | Published - 1 Jun 2015 |
Abstract
Keywords
- 1-Forms, Burnside ring, Finite group action, Index, Singularities, Vector fields
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: European Journal of Mathematics, Vol. 1, No. 2, 01.06.2015, p. 286-301.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
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 - http://www.scopus.com/inward/record.url?scp=84958691176&partnerID=8YFLogxK
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
VL - 1
SP - 286
EP - 301
JO - European Journal of Mathematics
JF - European Journal of Mathematics
SN - 2199-675X
IS - 2
ER -