Tautological rings of fake quaternionic spaces

Author name not available (Why is that?)

Publication date: 26 April 2023

Abstract: The tautological ring

R^{*} (M)

of a smooth manifold

M

is the ring of characteristic classes generated by the Miller-Morita-Mumford classes, and is often more accessible than the ring of all characteristic classes of smooth

M

-bundles. In this paper, we show that the Krull dimension of the tautological ring vanishes for almost all manifolds homotopy equivalent to

m a t h b b H P^{2}

through a combination of new methods in rational homotopy theory developed by Alexander Berglund and the family signature theorem.

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