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

For any coadjoint orbit $G/L$, we determine all useful terms of theassociated Savelyev-Seidel morphism defined on $H_{-*}(\Omega G)$. Immediateconsequences are: (1) the dimension of the kernel of the natural map$\pi_*(G)\otimes \mathbb{Q}\rightarrow \pi_*(Ham(G/L))\otimes \mathbb{Q}$ is atmost the semi-simple rank of $L$, and (2) the Bott-Samelson cycles in $\OmegaG$ which correspond to Peterson elements are solutions to the min-max problemfor Hofer's max-length functional on $\Omega Ham(G/L)$.  The proof is based on Bae-Chow-Leung's recent computation ofMa'u-Wehrheim-Woodward morphism for the moment correspondence associated to$G/T$ where $T$ is a maximal torus, the computation of Abbondandolo-Schwarzisomorphism for $G$, and two theoretical results including the coincidence ofthe above Savelyev-Seidel and Ma'u-Wehrheim-Woodward morphisms, and aLeray-type spectral sequence relating Savelyev-Seidel morphisms for $G/L$ and$G/T$.  These ingredients also allow us to obtain an alternative proof ofPeterson-Woodward's comparison formula which relates the quantum cohomology of$G/T$ to that of $G/L$.

Quantum characteristic classes, moment correspondences and the Hamiltonian groups of coadjoint orbits