TY  - JOUR
A1  - Wallenta, D.
T1  - Elliptic quasicomplexes on compact closed manifolds
JF  - Integral equations and operator theor
N2  - 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.
KW  - Elliptic complexes
KW  - Fredholm complexes
KW  - Index theory
Y1  - 2012
U6  - https://doi.org/10.1007/s00020-012-1983-7
SN  - 0378-620X
VL  - 73
IS  - 4
SP  - 517
EP  - 536
PB  - Springer
CY  - Basel
ER  -