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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2023 Volume 19, 012, 7 pp. (Mi sigma1907)
This article is cited in 4 papers

Spin$^h$ Manifolds

H. Blaine Lawson  Jr.

Stony Brook University, Stony Brook NY, USA

Abstract: The concept of a ${\rm Spin}^h$-manifold, which is a cousin of Spin- and ${\rm Spin}^c$-manifolds, has been at the center of much research in recent years. This article discusses some of the highlights of this story.

Keywords: Spin-manifold, ${\rm Spin}^c$-manifold, obstructions, embedding theorems, bundle invariants, ABS-isomophism.

MSC: 53C27, 55P99

Received: January 25, 2023; in final form March 6, 2023; Published online March 19, 2023

Language: English

DOI: 10.3842/SIGMA.2023.012



Bibliographic databases:
ArXiv: 2301.09683

© Steklov Math. Inst. of RAS, 2025