# Width, largeness and index theory

@inproceedings{Zeidler2020WidthLA, title={Width, largeness and index theory}, author={Rudolf Zeidler}, year={2020} }

In this note, we review some recent developments related to metric aspect 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 M × [−1, 1], and on a conjecture of Rosenberg and Stolz on the non-exstistence of complete positive scalar curvature metrics on M × R. We show that there is a more general geometric statement underlying both of them implying a… CONTINUE READING

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