A lower bound on area of convex hypersurfaces is established via antipodal displacement, confirming the volume conjecture for convex cases in every dimension.
Filling R iemannian manifolds
2 Pith papers cite this work. Polarity classification is still indexing.
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Defines DG-coefficient Floer homology, builds associated tools including symplectic homology and spectral invariants, and proves a Viterbo isomorphism for cotangent bundles with applications to almost existence of contractible closed characteristics.
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Area and antipodal distance in convex hypersurfaces
A lower bound on area of convex hypersurfaces is established via antipodal displacement, confirming the volume conjecture for convex cases in every dimension.
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Floer Homology with DG Coefficients. Applications to cotangent bundles
Defines DG-coefficient Floer homology, builds associated tools including symplectic homology and spectral invariants, and proves a Viterbo isomorphism for cotangent bundles with applications to almost existence of contractible closed characteristics.