Lefschetz fixed point theorems for Fourier-Mukai functors and DG   algebras
  We propose some variants of Lefschetz fixed point theorem for Fourier-Mukai functors on a smooth projective algebraic variety. Independently we also suggest a similar theorem for endo-functors on the category of perfect modules over a smooth and proper DG algebra. 
Valery A. Lunts
math.AG