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Chris Douglas
Nested Toda Brackets and Differentials in the Adams Spectral Sequence
Abstract:
Higher order Toda brackets are like gremlins: cute and furry and easy
to handle, so long as you don't get them wet (or try to compute them
as the case may be). I'll remind you what Toda brackets are, then
present a collection of theorems describing Jacobi-style relations for
nested higher order Toda brackets. I'll conclude by showing how you
can use these Jacobi relations to, among other things, predict
differentials in the Adams spectral sequence. This is joint work with
Mike Hill.
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