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Home » Berkeley Topology Seminar: Part II: Main Talk - A variant of Rohlin's Theorem: on eta cubed

Seminar

Berkeley Topology Seminar: Part II: Main Talk - A variant of Rohlin's Theorem: on eta cubed April 23, 2014 (04:10 PM PDT - 05:00 PM PDT)
Location: 3 Evans Hall
Speaker(s) Michael Hill (University of Virginia)
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Rohlin's theorem on the signature of Spin 4-manifolds can be restated in terms of the connection between real and complex K-theory given by homotopy fixed points. This comes from a bordism result about Real manifolds versus unoriented manifolds, which in turn, comes from a C2-equivariant story. I'll describe a surprising analogue of this for

larger cyclic 2 groups, showing that the element eta cubed is never detected! In particular, for any bordism theory orienting these generalizations of Real manifolds, the three torus is always a boundary.

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