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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Modular invariance and twisted cancellations of characteristic numbers


Authors: Qingtao Chen and Fei Han
Journal: Trans. Amer. Math. Soc. 361 (2009), 1463-1493
MSC (2000): Primary 58J26; Secondary 58J20
Published electronically: October 17, 2008
MathSciNet review: 2457406
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Abstract | References | Similar Articles | Additional Information

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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9947-08-04703-X
PII: S 0002-9947(08)04703-X
Received by editor(s): February 16, 2007
Published electronically: October 17, 2008
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.