TY - JOUR
T1 - Modular invariance and twisted cancellations of characteristic numbers
AU - Chen, Qingtao
AU - Han, Fei
PY - 2009/3
Y1 - 2009/3
N2 - 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 spinc manifolds. In particular, we obtain twisted Rokhlin congruences for 8k + 4 dimensional spinc manifolds.
AB - 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 spinc manifolds. In particular, we obtain twisted Rokhlin congruences for 8k + 4 dimensional spinc manifolds.
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U2 - 10.1090/s0002-9947-08-04703-x
DO - 10.1090/s0002-9947-08-04703-x
M3 - Article
AN - SCOPUS:77950521737
SN - 0002-9947
VL - 361
SP - 1463
EP - 1493
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 3
ER -