Moduli space of Riemann surfaces
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
moduli space |
| gptkbp:compact |
gptkb:Deligne–Mumford_compactification
|
| gptkbp:describes |
isomorphism classes of Riemann surfaces
|
| gptkbp:dimensions |
3g-3 for genus g > 1
|
| https://www.w3.org/2000/01/rdf-schema#label |
Moduli space of Riemann surfaces
|
| gptkbp:isQuotientOf |
Teichmüller space by mapping class group
|
| gptkbp:notation |
gptkb:Mg
|
| gptkbp:parameter |
complex structures on a topological surface
|
| gptkbp:relatedTo |
gptkb:Teichmüller_space
modular forms mapping class group moduli stack of curves |
| gptkbp:structure |
gptkb:algebraic_geometry
complex orbifold |
| gptkbp:studiedBy |
mathematical physicists
algebraic geometers complex analysts |
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:string_theory complex analysis |
| gptkbp:bfsParent |
gptkb:Teichmüller_metric
|
| gptkbp:bfsLayer |
6
|