A variational functional E on Riemannian metrics vanishes precisely when geodesics realize prescribed unparametrised paths, and every conformal class on a surface admits a unique (up to homothety) conformally critical metric for E.
A model for cyclic homology and alge- braic K-theory of 1-connected topological spaces
3 Pith papers cite this work, alongside 1,277 external citations. Polarity classification is still indexing.
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The modulus of the annulus between two nested curves is monotonically increasing under curve shortening flow in the plane and on surfaces with curvature bounds.
Deformation of unstable K-theory quantizes D0/D2/NS5 and NS1/D4 brane fluxes in Type IIA and oxidizes to M-brane quantization.
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Prescribing geodesics and a variational problem for Riemannian metrics
A variational functional E on Riemannian metrics vanishes precisely when geodesics realize prescribed unparametrised paths, and every conformal class on a surface admits a unique (up to homothety) conformally critical metric for E.
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Monotonicity of the modulus under curve shortening flow
The modulus of the annulus between two nested curves is monotonically increasing under curve shortening flow in the plane and on surfaces with curvature bounds.
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Flux Quantization of Type IIA in Unstable K-Theory
Deformation of unstable K-theory quantizes D0/D2/NS5 and NS1/D4 brane fluxes in Type IIA and oxidizes to M-brane quantization.