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Quantitative surgery and total mean curvature

Published 15 Jan 2026 in math.DG and gr-qc | (2601.10617v1)

Abstract: We develop quantitative surgery, which extends the classical constructions of Gromov--Lawson and Lawson--Michelsohn. As an application, we prove a conjecture of Gromov on the total mean curvature of fill-ins.

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