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math.SP2026
Inverse spectral results for the magnetic Schrödinger operator in low dimensions
Devon Farrell, Anna Holloway, Nikhil Savale
We consider the semiclassical magnetic Schrödinger operator in dimensions one and two. The first result is that an even one dimensional semiclassical potential is spectrally determ…
math.DG2026
The eta invariant of a circle bundle on a Fano manifold
Nikhil Savale
We consider the spin-c Dirac operator on the unit circle bundle of a positive line bundle over a Fano manifold of even complex dimension. We compute the corresponding eta invariant…