20.11.2025, 16:15
– Campus Golm, Haus 9, Raum 1.22
Forschungsseminar Differentialgeometrie
Codimension 2 transfer of signatures in L theory
Yuetong Luo (Göttingen)
We give a new upper bound for the smallest eigenvalues of the Dirac operator on a Riemannian flow carrying transversal Killing spinors. We derive an estimate on Sasakian and on 3-dimensional manifolds and partially classify those satisfying the limiting case. Finally, we compare our estimate with a lower bound in terms of a natural tensor depending on the eigenspinor.