Beyond Spin bordism

• Applicant: Dr. Justin Noel
• Subject Area: Mathematics
• Term: from 2015 to 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 269635318

We propose a program for analyzing the characteristic classes and bordism rings of O-manifolds as n-varies. This family of bordism theories includes oriented-, Spin-, and String-bordism as special cases. In particular, we plan to exploit underlying E-infinity structures to analyze nilpotence and periodicity in a range that grows exponentially with n.

• DFG Programme: Priority Programmes
• Subproject of: SPP 1786: Homotopy Theory and Algebraic Geometry