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arXiv · 2512.16535

Non-negative scalar curvature on spin surgeries and Novikov conjecture

Jinmin Wang
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Abstract

Let $M$ be a closed aspherical manifold. Assume that the rational strong Novikov conjecture holds for $\pi_1(M)$. We show that on any spin surgery of $M$ along a region whose induced homomorphism on the fundamental group is trivial, every complete metric with non-negative scalar curvature is Ricci-flat. In particular, on the connected sum of $M$ with a spin manifold, any complete metric with non-negative scalar curvature is Ricci-flat.

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Jinmin Wang. 2025-12-18. Non-negative scalar curvature on spin surgeries and Novikov conjecture. https://arxiv.org/abs/2512.16535

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