@article{Wallenta2012,
  author    = {Wallenta, D.},
  title     = {Elliptic quasicomplexes on compact closed manifolds},
  series = {Integral equations and operator theor},
  volume    = {73},
  journal   = {Integral equations and operator theor},
  number    = {4},
  publisher = {Springer},
  address   = {Basel},
  issn      = {0378-620X},
  doi       = {10.1007/s00020-012-1983-7},
  pages     = {517 -- 536},
  year      = {2012},
  abstract  = {We consider quasicomplexes of pseudodifferential operators on a smooth compact manifold without boundary. To each quasicomplex we associate a complex of symbols. The quasicomplex is elliptic if this symbol complex is exact away from the zero section. We prove that elliptic quasicomplexes are Fredholm. Moreover, we introduce the Euler characteristic for elliptic quasicomplexes and prove a generalisation of the Atiyah-Singer index theorem.},
  language  = {en}
}
@article{Wallenta2014,
  author    = {Wallenta, Daniel},
  title     = {A Lefschetz fixed point formula for elliptic quasicomplexes},
  series = {Integral equations and operator theor},
  volume    = {78},
  journal   = {Integral equations and operator theor},
  number    = {4},
  publisher = {Springer},
  address   = {Basel},
  issn      = {0378-620X},
  doi       = {10.1007/s00020-014-2122-4},
  pages     = {577 -- 587},
  year      = {2014},
  abstract  = {In a recent paper, the Lefschetz number for endomorphisms (modulo trace class operators) of sequences of trace class curvature was introduced. We show that this is a well defined, canonical extension of the classical Lefschetz number and establish the homotopy invariance of this number. Moreover, we apply the results to show that the Lefschetz fixed point formula holds for geometric quasiendomorphisms of elliptic quasicomplexes.},
  language  = {en}
}