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.
The CFT of SLE loop measures and the Kontsevich–Suhov conjecture
3 Pith papers cite this work. Polarity classification is still indexing.
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Renormalized two-point functions for CLE4 gaskets are computed probabilistically via loop soups and GFF, corresponding to Ashkin-Teller spin correlations and recovering Ising at the decoupling point.
Proves LDPs for full chordal, radial, and multichordal SLE(0+) curves in capacity parameterization with Loewner energy rate functions, strengthening topology to include parameterized curves with endpoints.
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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Renormalised two-point functions of CLE$_4$ gaskets
Renormalized two-point functions for CLE4 gaskets are computed probabilistically via loop soups and GFF, corresponding to Ashkin-Teller spin correlations and recovering Ising at the decoupling point.
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Large deviations of SLE(0+) variants in the capacity parameterization
Proves LDPs for full chordal, radial, and multichordal SLE(0+) curves in capacity parameterization with Loewner energy rate functions, strengthening topology to include parameterized curves with endpoints.