Modular Invariance and Twisted Anomaly Cancellations of Characteristic Numbers

2006/05/16 by Chen, Qingtao, Han, Fei
#11Z05 #57R20 #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53C20 #Secondary 53C80

paper · doi:10.48550/arxiv.math/0605415

Abstract

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

Related

• SL(2,Z) Modular Forms and Anomaly Cancellation Formulas II
• Modular invariance, characteristic numbers and η invariants
• SL(2,Z) modular forms and anomaly cancellation formulas
• A note on modular forms and generalized anomaly cancellation formulas 2
• Anomaly cancellation formulas and E8 bundles