Curvature operators and rational cobordism
Differential Geometry
2025-09-23 v2
Abstract
We determine linear inequalities on the eigenvalues of curvature operators that imply vanishing of the twisted genus on a closed Riemannian spin manifold, where the twisting bundle is any prescribed parallel bundle of tensors. These inequalities yield surgery-stable curvature conditions tailored to annihilate further rational cobordism invariants, such as the Witten genus, elliptic genus, signature, and even the rational cobordism class itself.
Cite
@article{arxiv.2212.07548,
title = {Curvature operators and rational cobordism},
author = {Renato G. Bettiol and McFeely Jackson Goodman},
journal= {arXiv preprint arXiv:2212.07548},
year = {2025}
}
Comments
LaTeX2e, 34 pages, final version