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Farb–Weinberger conjecture on positive scalar curvature on moduli spaces
Farb–Weinberger conjecture. $M$ does not admit a finite-volume Riemannian metric in the quasi-isometry class of the Teichmüller metric whose scalar curvature is uniformly bounded a…
Conjectureopenmoduli-spaces positive-scalar-curvature teichmuller-geometryarXiv posted 2 days ago
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Positive-scalar-curvature obstruction in the Teichmüller quasi-isometry class
Let $S$ be a surface with … where $g$ is its genus and $n$ its number of punctures, and let $M$ be the finite cover of the corresponding moduli space appearing in the preceding dis…
Conjectureopenmoduli-spaces scalar-curvature teichmuller-geometryarXiv posted 2 days ago

Farb–Weinberger conjecture on positive scalar curvature on moduli spaces