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A local index theorem for families of $$\bar \partial $$ -operators on punctured Riemann surfaces and a new Kähler metric on their moduli spaceson punctured Riemann surfaces and a new Kähler metric on their moduli spaces

Global GeometryRiemannian GeometryLocal Index TheoremModuli SpacesonGlobal AnalysisModuli SpacesRiemannian ManifoldComplex Geometry