The Adams spectral sequence for the imageofJ spectrum
The Adams spectral sequence for the imageofJ spectrum

John Rognes, University of Oslo
Zoom link: https://princeton.zoom.us/j/96282936122
Passcode: 998749
I will talk about joint work with Bob Bruner. We show that if we factor the long exact sequence in cohomology of a cofiber sequence of spectra into short exact sequences, then the d_2differential in the Adams spectral sequence of any one term is related in a precise way to Yoneda composition with the 2extension given by the complementary terms in the long exact sequence. We use this to give a complete analysis of the Adams spectral sequence for the connective imageofJ spectrum, finishing a calculation begun by Don Davis in 1975.