Posted in

Speaker:

Jae Choon Cha
Affiliation:

POSTECH, Pohang/MPI
Date:

Mon, 2017-12-04 16:30 - 18:00
Location:

MPIM Lecture Hall
Parent event:

MPIM Topology Seminar In his thesis, J. Milnor defined isotopy invariants of links, which determine when the lower central

series quotients of the fundamental group are free nilpotent. It turned out that they are concordance

invariants, and finite type invariants in the sense of Vassiliev-Goussarov. We generalize Milnor’s

invariants for 3-manifolds, using a homotopy theoretic approach, and we give an answer to a problem

asked by Milnor: find some method of attacking transfinite lower central series, and extracting invariants

from it. This work is joint with Kent Orr.

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