index theory, KK-theory
noncommutative topology, noncommutative geometry
noncommutative stable homotopy theory
differential operator, pseudodifferential operator
symbol of a differential operator
elliptic operator, elliptic complex
index of a differential operator?
topological index, analytical index
Atiyah-Singer index theorem
Hirzebruch signature theorem?
Mishchenko-Fomenko index theorem
A differential or pseudodifferential operator is elliptic if its principal symbol is invertible.
elliptic chain complex
generalized elliptic operator