Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 19 (2023), 012, 7 pages      arXiv:2301.09683      https://doi.org/10.3842/SIGMA.2023.012
Contribution to the Special Issue on Differential Geometry Inspired by Mathematical Physics in honor of Jean-Pierre Bourguignon for his 75th birthday

Spin${}^h$ Manifolds

H. Blaine Lawson Jr.
Stony Brook University, Stony Brook NY, USA

Received January 25, 2023, in final form March 06, 2023; Published online March 19, 2023

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.

Key words: Spin-manifold; ${\rm Spin}^c$-manifold; obstructions; embedding theorems; bundle invariants; ABS-isomophism.

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