English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

By work of Berglund and Madsen, the rings of rational characteristic classes of fibrations and smooth block bundles with fibre   $D^{2n}\sharp (S^n\times S^n)^{\sharp g}$  , relative to the boundary, are for   $2n\ge 6$   independent of   $g$   in degrees   $*\le (g-6)/2$  . In this note, we explain how this range can be improved to   $*\le g-2$   using cohomological vanishing results due to Borel and the classical invariant theory. This implies that the analogous ring for smooth bundles is independent of   $g$   in the same range, provided the degree is small compared to the dimension.

A NOTE ON RATIONAL HOMOLOGICAL STABILITY OF AUTOMORPHISMS OF MANIFOLDS