An Almost Flat Spin$^c$ Manifold Bounds
Algebraic Topology
2025-12-23 v1 Differential Geometry
Geometric Topology
Abstract
We prove that every almost flat spin^ manifold bounds a compact orientable manifold, thereby settling, in the spin^ case, a long-standing conjecture of Farrell--Zdravkovska and S. T. Yau.
Keywords
Cite
@article{arxiv.2512.19335,
title = {An Almost Flat Spin$^c$ Manifold Bounds},
author = {Fei Han and Ruizhi Huang and Weiping Zhang},
journal= {arXiv preprint arXiv:2512.19335},
year = {2025}
}
Comments
14 pages; comments are very welcome!