Modular invariance and twisted cancellations of characteristic numbers
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Abstract:
By studying modular invariance properties of some characteristic forms, which are related to elliptic genera, we obtain twisted cancellation formulas for characteristic forms. We apply these twisted cancellation formulas to study divisibilities on spin manifolds and congruences on spin$^c$ manifolds. In particular, we obtain twisted Rokhlin congruences for $8k+4$ dimensional spin$^c$ manifolds.References
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Additional Information
- Qingtao Chen
- Affiliation: Department of Mathematics, University of California, Berkeley, California 94720-3840
- Email: chenqtao@math.berkeley.edu
- Fei Han
- Affiliation: Department of Mathematics, University of California, Berkeley, California 94720-3840
- Address at time of publication: Department of Mathematics, Stanford University, Stanford, California 94305-2125
- Email: feihan@math.berkeley.edu
- Received by editor(s): February 16, 2007
- Published electronically: October 17, 2008
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 361 (2009), 1463-1493
- MSC (2000): Primary 58J26; Secondary 58J20
- DOI: https://doi.org/10.1090/S0002-9947-08-04703-X
- MathSciNet review: 2457406