A classification of star log symplectic structures on a compact oriented surface
| Autor: | Melinda Lanius |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Mathematics - Differential Geometry
Surface (mathematics) Pure mathematics Plane (geometry) Star (graph theory) Poisson distribution Cohomology symbols.namesake Differential Geometry (math.DG) Mathematics - Symplectic Geometry FOS: Mathematics symbols Symplectic Geometry (math.SG) 53D05 53D17 Geometry and Topology Degeneracy (mathematics) Finite set Mathematics Symplectic geometry |
| Zdroj: | Journal of Symplectic Geometry. 17:1793-1833 |
| ISSN: | 1540-2347 1527-5256 |
| DOI: | 10.4310/jsg.2019.v17.n6.a6 |
| Popis: | Given a compact oriented surface, we classify log Poisson bi-vectors whose degeneracy loci are locally modeled by a finite set of lines in the plane intersecting at a point. Further, we compute the Poisson cohomology of such structures and discuss the relationship between our classification and the second Poisson cohomology. Comment: Final version accepted for publication in Journal of Symplectic Geometry |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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