Width, Largeness and Index Theory

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Zeidler, Rudolf
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211092
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Width, Largeness and Index Theory. Rudolf Zeidler. SIGMA 16 (2020), 127, 15 pages

In this note, we review some recent developments related to metric aspects of scalar curvature from the point of view of index theory for Dirac operators. In particular, we revisit index-theoretic approaches to a conjecture of Gromov on the width of Riemannian bands × [−1, 1], and on a conjecture o...