Corpus ID: 221376371

Width, largeness and index theory

@inproceedings{Zeidler2020WidthLA,
  title={Width, largeness and index theory},
  author={Rudolf Zeidler},
  year={2020}
}
  • Rudolf Zeidler
  • Published 2020
  • Mathematics
  • 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
    Quantitative K-theory, positive scalar curvature, and band width.

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 43 REFERENCES
    On the structure of manifolds with positive scalar curvature
    • 431
    • PDF
    Enlargeability and index theory
    • 46
    • PDF
    Simply connected manifolds of positive scalar curvature
    • 80
    • PDF
    THE SEIBERG-WITTEN INVARIANTS AND SYMPLECTIC FORMS
    • 537
    • PDF
    The topology of positive scalar curvature
    • 26
    • PDF
    ON HARMONIC SPINORS
    • 383
    • PDF
    Codimension two index obstructions to positive scalar curvature
    • 36
    • Highly Influential
    • PDF
    Enlargeability and index theory: Infinite covers
    • 26
    • PDF
    Compact 8-manifolds with holonomy Spin(7)
    • 158
    • PDF
    A counterexample to the (unstable) Gromov–Lawson–Rosenberg conjecture
    • 67
    • PDF