Published on *Max-Planck-Institut für Mathematik* (http://www.mpim-bonn.mpg.de)

Posted in

- Vortrag [1]

Speaker:

Min Hoon Kim
Zugehörigkeit:

KIAS, Seoul/MPIM
Datum:

Mon, 27/11/2017 - 16:30 - 18:00 The bipolar filtration of Cochran, Harvey and Horn presents a framework of the study of

deeper structures in the smooth concordance group of topologically slice knots. We show

that the graded quotient of the bipolar filtration of topologically slice knots has infinite rank

at each stage greater than one. To detect nontrivial elements in the quotient, the proof

simultaneously uses higher order amenable Cheeger-Gromov L^2 rho-invariants and infinitely

many Heegaard Floer correction term d-invariants. This is joint work with Jae Choon Cha.

**Links:**

[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/de/node/4234

[3] http://www.mpim-bonn.mpg.de/de/TopologySeminar