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 establish a relation between the coefficients of asymptotic expansion oftrivial connection contribution to Witten's invariant of rational homologyspheres and the invariants that T.~Ohtsuki extracted from Witten's invariant atprime values of $K$. We also rederive the properties of prime $K$ invariantsdiscovered by H.~Murakami and T.~Ohtsuki. We do this by using the bounds onTaylor series expansion of the Jones polynomial of algebraically split links,studied in our previous paper. These bounds are enough to prove that Ohtsuki'sinvariants are of finite type. The relation between Ohtsuki's invariants andtrivial connection contribution is verified explicitly for lens spaces andSeifert manifolds.Comment: 32 pages, no figures, LaTe

Witten's invariants of rational homology spheres at prime values ofK and trivial connection contribution