Boris Botvinnik, abstact
Boris Botvinnik, University of Oregon
Title: Families of diffeomorphisms (and
concordances
detected by trivalent graphs
(with applications to psc-metrics)
Abstract: This is a joint work with Tadayuki Watanabe. We use
earlier results by Watanabe to prove that the non-trivial
elements of the homotopy groups
π*BDiff∂(Dd)⊗ Q (which
are detected by the Kontsevich characteristic classes valued in
the algebra of trivalent graphs) are lifted to elements in
π*C(Dd) of the pseudo-isotopy space. Here d > 3.
I
will discuss mostly the case when the dimension d is even. We also
prove that those elements are lifted to corresponding moduli spaces of
psc-metrics.