On a conjecture of Stolz in the toric case
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- by Michael Wiemeler;
- Proc. Amer. Math. Soc. 152 (2024), 3617-3621
- DOI: https://doi.org/10.1090/proc/16823
- Published electronically: June 18, 2024
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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
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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