Index of a singular point of a vector field or of a 1-form on an orbifold

DOI10.1090/spmj/1710zbMath1487.58037arXiv1903.06978OpenAlexW4229042843MaRDI QIDQ5075000

Sabir M. Gusein-Zade

Publication date: 10 May 2022

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.06978

zbMATH Keywords

vector fieldorbifoldindex1-formadditive topological invariants

Mathematics Subject Classification ID

Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Singularities of vector fields, topological aspects (58K45) Topology and geometry of orbifolds (57R18)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Gauss-Bonnet theorem for \(V\)-manifolds
• On equivariant Euler characteristics
• Transformation groups
• On the Euler number of an orbifold
• Orbifold Euler characteristics and the number of commuting \(m\)-tuples in the symmetric groups
• The universal Euler characteristic of \(V\)-manifolds
• Equivariant indices of vector fields and 1-forms
• Radial index and Euler obstruction of a 1-form on a singular variety
• ON A GENERALIZATION OF THE NOTION OF MANIFOLD
• Equivariant analogues of the Euler characteristic and Macdonald type equations
• Generalized orbifold Euler characteristic of symmetric products and equivariant Morava \(K\)-theory