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.
| Original language | English |
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| Pages (from-to) | 1463-1493 |
| Number of pages | 31 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 361 |
| Issue number | 3 |
| Publication status | Published - Mar 2009 |