### Chern classes identities from weak coupling limits

- Series
- Algebra Seminar
- Time
- Monday, April 26, 2010 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 171
- Speaker
- Paolo Aluffi – Florida State University – aluffi@mail.math.fsu.edu

We generalize a construction of Ashoke Sen of `weak couplinglimits' for certain types of elliptic fibrations. Physics argumentsinvolving tadpole anomaly cancellations lead to conjectural identitiesof Euler characteristics. We generalize these identities to identitiesof Chern classes, which we are able to verify mathematically inseveral instances. For this purpose we propose a generalization of theso-called `Sethi-Vafa-Witten identity'. We also obtain a typeclassification of configurations of smooth branes satisfying thetadpole condition. This is joint work with Mboyo Esole (Harvard).