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/

Global: Zendy Plus annual

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

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We revisit an argument due to Lesch (Topology 32 (1993), no. 3, 611-623) forproving the cobordism invariance of the index of Dirac operators oneven-dimensional closed manifolds and combine this with recent work by theauthor (New York J. Math. 28 (2022), 705-772) to show vanishing results for thespectral flow for families of selfadjoint Fredholm realizations of ellipticoperators in case the family is induced on the boundary by an elliptic operatoron a compact space. This work is motivated by studying the behavior of theindex of realizations of elliptic operators under cobordisms of statifiedmanifolds.

Cobordism invariance of the index for realizations of elliptic operators revisited