Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On a conjecture of Stolz in the toric case
HTML articles powered by AMS MathViewer

by Michael Wiemeler;
Proc. Amer. Math. Soc. 152 (2024), 3617-3621
DOI: https://doi.org/10.1090/proc/16823
Published electronically: June 18, 2024

Abstract:

In 1996 Stolz [Math. Ann. 304 (1996), pp. 785–800] conjectured that a string manifold with positive Ricci curvature has vanishing Witten genus. Here we prove this conjecture for toric string Fano manifolds and for string torus manifolds admitting invariant metrics of non-negative sectional curvature.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2020): 58J26, 57S12, 14J45
  • Retrieve articles in all journals with MSC (2020): 58J26, 57S12, 14J45
Bibliographic Information
  • Michael Wiemeler
  • Affiliation: Mathematisches Institut, Universität Münster, Einsteinstrasse 62, D-48149 Münster, Germany
  • MR Author ID: 962657
  • Email: wiemelerm@uni-muenster.de
  • Received by editor(s): October 30, 2023
  • Received by editor(s) in revised form: February 1, 2024
  • Published electronically: June 18, 2024
  • Additional Notes: The research for this paper was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy EXC 2044 -390685587, Mathematics Münster: Dynamics-Geometry-Structure and through CRC1442 Geometry: Deformations and Rigidity at University of Münster.
  • Communicated by: Jiaping Wang
  • © Copyright 2024 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 152 (2024), 3617-3621
  • MSC (2020): Primary 58J26, 57S12, 14J45
  • DOI: https://doi.org/10.1090/proc/16823
  • MathSciNet review: 4767289