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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Remark on Witten's modular forms


Author: Jean-Luc Brylinski
Journal: Proc. Amer. Math. Soc. 105 (1989), 773-775
MSC: Primary 57R20; Secondary 11F11
MathSciNet review: 942631
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Abstract: We give a simple proof of the modular invariance of a power series which Witten [4] attaches to an even-dimensional closed manifold whose first Pontryagin class is torsion. The proof uses only the functional equation satisfied by classical theta functions.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0942631-1
PII: S 0002-9939(1989)0942631-1
Keywords: Spin manifolds, modular forms, theta function
Article copyright: © Copyright 1989 American Mathematical Society