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Hirzebruch-type invariants of Cheeger-Gromov and low dimensional topology

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Speaker: 
Jae Choon Cha
Affiliation: 
POSTECH/MPI
Date: 
Thu, 2017-08-31 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

A signature defect invariant of Hirzebruch over the group of order two was generalized to more general cases by Atiyah-Patodi-Singer and Cheeger-Gromov.  I will discuss some recent uses of invariants of this type in low dimensional topology, including smooth/topological disk embedding in dimension 4, and quantitative understanding of 3-manifolds.

 
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