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Rank conditions for finite group actions on 4-manifolds
- Source :
- Canadian Journal of Mathematics
- Publication Year :
- 2021
- Publisher :
- Canadian Mathematical Society, 2021.
-
Abstract
- Let M be a closed, connected, orientable topological 4-manifold, and G be a finite group acting topologically and locally linearly on M. In this paper we investigate the Borel spectral sequence for the G-equivariant cohomology of M, and establish new bounds on the rank of G for homologically trivial actions with discrete singular set.<br />22 pages (v2). Accepted for publication in the Canadian Journal of Mathematics
- Subjects :
- Pure mathematics
Finite group
57M60, 57S17, 20J06
General Mathematics
010102 general mathematics
Geometric topology
Geometric Topology (math.GT)
Algebraic topology
Rank (differential topology)
Mathematics::Algebraic Topology
01 natural sciences
Cohomology
Set (abstract data type)
Mathematics - Geometric Topology
Mathematics::K-Theory and Homology
0103 physical sciences
Spectral sequence
FOS: Mathematics
ComputingMethodologies_DOCUMENTANDTEXTPROCESSING
Algebraic Topology (math.AT)
Mathematics - Algebraic Topology
010307 mathematical physics
0101 mathematics
Mathematics::Symplectic Geometry
Mathematics
Subjects
Details
- ISSN :
- 14964279 and 0008414X
- Volume :
- 74
- Database :
- OpenAIRE
- Journal :
- Canadian Journal of Mathematics
- Accession number :
- edsair.doi.dedup.....d2ea3d746220230d7663b306a3be6cd3