Mathematics – Differential Geometry
Scientific paper
2006-05-16
Mathematics
Differential Geometry
30 pages, new contents added
Scientific paper
By studying modular invariance properties of some characteristic forms, we
obtain twisted anomaly cancellation formulas. We apply these twisted
cancellation formulas to study divisibilities on spin manifolds and congruences
on spin$^c$ manifolds. Especially, we get twisted Rokhlin congruences for
$8k+4$ dimensional spin$^c$ manifolds
Chen Qingtao
Han Fei
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