Modular invariance and anomaly cancellation formulas in odd dimension
Liu, Kefeng · Wang, Yong
Original · EN
By studying modular invariance properties of some characteristic forms, we get some new anomaly cancellation formulas on (4r-1) dimensional manifolds. As an application, we derive some results on divisibilities of the index of Toeplitz operators on (4r-1) dimensional spin manifolds and some congruent formulas on characteristic number for (4r-1) dimensional spinᶜ manifolds.
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