The paper computes the second group cohomology of complex deformations of the circle, identifies extending cocycles including a relative one with rotation number and conformal radius, and proves Virasoro uniformization for Segal moduli spaces.
Infinite-dimensional L ie groups
4 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 4representative citing papers
First-order locally convex Lie algebroids form a category whose morphisms are defined by pullback of sheaf-valued forms, and Banach-Lie algebroid morphisms integrate uniquely to source-simply connected Banach-Lie groupoid morphisms.
Studies local Lie group on admissible bisections of local Lie groupoids over compact manifolds and proves globalizability implication from groupoid to bisection group.
Defines L^p spaces via Lusin measurability for functions valued in locally convex spaces and proves density of simple functions plus dyadic approximation results in the Hausdorff case.
citing papers explorer
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Complex deformations of the circle: Group cohomology and Virasoro uniformization
The paper computes the second group cohomology of complex deformations of the circle, identifies extending cocycles including a relative one with rotation number and conformal radius, and proves Virasoro uniformization for Segal moduli spaces.
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A category of locally convex Lie algebroids
First-order locally convex Lie algebroids form a category whose morphisms are defined by pullback of sheaf-valued forms, and Banach-Lie algebroid morphisms integrate uniquely to source-simply connected Banach-Lie groupoid morphisms.
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On the bisections of a local Lie grpoupod
Studies local Lie group on admissible bisections of local Lie groupoids over compact manifolds and proves globalizability implication from groupoid to bisection group.
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On $L^p$-spaces of functions with values in locally convex spaces
Defines L^p spaces via Lusin measurability for functions valued in locally convex spaces and proves density of simple functions plus dyadic approximation results in the Hausdorff case.