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math.DG2024
The higher fixed point theorem for foliations. Applications to rigidity and integrality
Moulay Tahar Benameur, James L. Heitsch
We give applications of the higher Lefschetz theorems for foliations of [BH10], primarily involving Haefliger cohomology. These results show that the transverse structures of folia…
math.DG2024
Higher relative index theorems for foliations
Moulay Tahar Benameur, James L. Heitsch
In this paper we solve the general case of the cohomological relative index problem for foliations of non-compact manifolds. In particular, we significantly generalize the groundbr…