The higher twisted index theorem for foliations

Moulay-Tahar Benameur, Alexander Gorokhovsky, Eric Leichtnam

Given a gerbe $L$, on the holonomy groupoid $\mathcal{G}$ of the foliation $(M,\mathcal{F})$, whose pull-back to $M$ is torsion, we construct a Connes $\Phi$-map from the twisted Dupon…