Transactions of the American Mathematical Society

Author(s): Qingtao Chen; Fei Han
Journal: Trans. Amer. Math. Soc. 361 (2009), 1463-1493.
MSC (2000): Primary 58J26; Secondary 58J20
Posted: October 17, 2008
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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

manifolds. In particular, we obtain twisted Rokhlin congruences for

dimensional spin

manifolds.

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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: 10.1090/S0002-9947-08-04703-X
PII: S 0002-9947(08)04703-X
Received by editor(s): February 16, 2007
Posted: October 17, 2008
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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