moduli space of Riemann surfaces

E1676649 UNEXPLORED

The moduli space of Riemann surfaces is the parameter space that classifies all complex structures on a given topological surface up to conformal equivalence, often studied as a central object in complex analysis, algebraic geometry, and mathematical physics.

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All labels observed (5)

Label Occurrences
moduli space of Riemann surfaces canonical 3
Mirzakhani’s volume recursion for moduli spaces 1
moduli space of algebraic curves 1

Referenced by (7)

Full triples — surface form annotated when it differs from this entity's canonical label.

Outer space (Culler–Vogtmann Outer space) → hasAnalogyWith → moduli space of Riemann surfaces ⓘ
Weil–Petersson metric → usedInStudyOf → Mirzakhani’s volume recursion for moduli spaces ⓘ
linked to: moduli space of Riemann surfaces
Kontsevich–Zorich cocycle → definedOver → moduli space of quadratic differentials ⓘ
linked to: moduli space of Riemann surfaces
Howard Masur → studies → moduli spaces of Riemann surfaces ⓘ
linked to: moduli space of Riemann surfaces
Teichmüller space → isUniversalCoverOf → moduli space of Riemann surfaces ⓘ
Teichmüller space → quotientGives → moduli space of Riemann surfaces ⓘ
Teichmüller space → relatedConcept → moduli space of algebraic curves ⓘ
linked to: moduli space of Riemann surfaces