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Speaker:
Jae Choon Cha
Zugehörigkeit:
POSTECH
Datum:
Mon, 17/10/2016 - 09:30 - 10:30
Location:
MPIM Lecture Hall
Parent event:
Conference on 4-manifolds and knot concordance Recently Sylvain Cappell, Jim Davis and Shmuel Weinberger studied $L^2$-acyclic bordism groups in high dimensions. In this talk we address 4-dimensional $L^2$-acyclic bordism between 3-manifolds. We introduce a Whitney tower approach to study the structure in this dimension, and show that Cheeger-Gromov invariants over amenable groups give obstructions. Also we answer some questions of Cappell, Davis and Weinberger which concern the relationship of $L^2$-acyclic bordism and knot concordance.
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