Chern classes identities from weak coupling limits.
Paolo Aluffi (FSU)
This is joint work with Mboyo Esole (Harvard). We generalize
a construction of Ashoke Sen of ‘weak coupling limits’ for
certain types of elliptic fibrations. Physics arguments
involving tadpole anomaly cancellations lead to conjectural
identities of Euler characteristics. We generalize these
identities to identities of Chern classes, which we are able
to verify mathematically in several instances. For this
purpose we propose a generalization of the so-called
“Sethi-Vafa-Witten identity”. We also obtain a classification
of configurations of smooth branes satisfying the tadpole
condition.