Lefschetz formula for nonlocal elliptic problems associated with fibration

N. R. Orlova

Moscow, Russia

Abstract: Elliptic operator complexes associated with fibration are considered. The Atiyah–Bott–Lefschetz formula for endomorphisms of such complexes is given. The proof is based on the stationary phase method. Wavefronts of distributions are used to estimate the remainder term.

Keywords: elliptic complexes, nonlocal problems, Lefschetz numbers, wave front, stationary phase method.

UDC: 517.9

DOI: 10.22363/2413-3639-2025-71-3-417-442