Topology Seminar: John Lind
Topic
The transfer map of free loop spaces
Speakers
Details
Associated to a fibration E --> B with homotopy finite fiber is a stable wrong way map LB --> LE of free loop spaces coming from the transfer map in THH. This transfer is defined under the same hypotheses as the Becker-Gottlieb transfer, but on different objects. I will use duality in bicategories to explain why the THH transfer contains the Becker-Gottlieb transfer as a direct summand. The corresponding result for the A-theory transfer may then be deduced as a corollary. When the fibration is a smooth fiber bundle, the same methods give a three step description of the THH transfer in terms of explicit geometry over the free loop space. (Joint work with C. Malkiewich)
Additional Information
Location: ESB 4127
John Lind, Reed College
John Lind, Reed College
This is a Past Event
Event Type
Scientific, Seminar
Date
November 10, 2016
Time
-
Location