Abstract:
The Rosenberg index is a strong obstruction for a closed spin
manifold to admit a positive scalar curvature metric. It is a complete obstruction in a stable sense (Rosenberg-Stolz theorem), but not really complete (Schick's counterexample). This leads us to explore a new PSC obstruction beyond the Rosenberg index. On the other hand, it has been expected that the Rosenberg index is strongest among the obstructions coming from Dirac operators (Schick's meta-conjecture). In this talk, I show that two Dirac type PSC obstructions, the codimension 2 obstruction of Hanke-Pape-Schick and the infinite KO-width of Gromov and Zeidler, are dominated by the Rosenberg index.
Angelegt am Friday, 22.10.2021 14:32 von N. N
Geändert am Wednesday, 17.11.2021 12:22 von N. N
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