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math.DG 1

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2026 1

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Bottom spectrum, vertical $\widehat{A}$-cowaist and scalar curvature rigidity

math.DG · 2026-05-18 · unverdicted · novelty 7.0

Introduces the vertical Â-cowaist invariant for partitioned manifolds and derives sharp inequalities relating it to scalar curvature and Laplacian bottom spectrum via deformed Dirac operators, with applications to high-dimensional estimates and boundary versions of prior theorems.

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  • Bottom spectrum, vertical $\widehat{A}$-cowaist and scalar curvature rigidity math.DG · 2026-05-18 · unverdicted · none · ref 34

    Introduces the vertical Â-cowaist invariant for partitioned manifolds and derives sharp inequalities relating it to scalar curvature and Laplacian bottom spectrum via deformed Dirac operators, with applications to high-dimensional estimates and boundary versions of prior theorems.