Counting curves on orbifolds
Viveka Erlandsson, Juan Souto

TL;DR
This paper extends Mirzakhani's curve counting theorem from surfaces to orbifolds, demonstrating that the counting principles apply in this broader geometric context.
Contribution
It introduces a generalization of Mirzakhani's theorem, adapting the curve counting framework to orbifolds.
Findings
Curve counting formulas valid for orbifolds
Extension of Mirzakhani's theorem to new geometric settings
Broader applicability of curve counting techniques
Abstract
We show that Mirzakhani's curve counting theorem also holds if we replace surfaces by orbifolds.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Geometric Analysis and Curvature Flows
