Modular invariance and twisted cancellations of characteristic numbers

Qingtao Chen, Fei Han

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)1463-1493
Number of pages31
JournalTransactions of the American Mathematical Society
Issue number3
StatePublished - Mar 2009

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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