Mod 3 congruence and twisted signature of 24 dimensional string manifolds
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Abstract:
In this paper, by combining modularity of the Witten genus and the modular forms constructed by Liu and Wang, we establish mod 3 congruence properties of certain twisted signatures of 24 dimensional string manifolds.References
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Additional Information
- Qingtao Chen
- Affiliation: Mathematics Section, International Center for Theoretical Physics, Strada Costiera, 11, I - 34151 Trieste, Italy
- Email: qchen1@ictp.it
- Fei Han
- Affiliation: Department of Mathematics, National University of Singapore, Block S17, 10 Lower Kent Ridge Road, Singapore 119076
- Email: mathanf@nus.edu.sg
- Received by editor(s): December 3, 2012
- Received by editor(s) in revised form: June 26, 2013
- Published electronically: August 8, 2014
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 367 (2015), 2959-2977
- MSC (2010): Primary 58J26, 53C27
- DOI: https://doi.org/10.1090/S0002-9947-2014-06241-7
- MathSciNet review: 3301888