## Geometry and Topology

•  Bipolar filtration of topologically slice knots
•  04/25/2017
•  3:00 PM - 4:00 PM
•  C304 Wells Hall
•  Min Hoon Kim, KIAS

We show that the bipolar filtration of the smooth concordance group of topologically slice knots introduced by Cochran, Harvey and Horn has nontrivial graded quotients at every stage. To detect a nontrivial element in the quotient, the proof uses Cheeger-Gromov $L^2$ $\rho$-invariants and infinitely many Heegaard Floer correction term invariants simultaneously.

## Contact

Department of Mathematics
Michigan State University