Hitchin-Thorpe inequality
Samuel Adrian Antz
synthetic differential geometry
Introductions
geometry of physics: coordinate systems, smooth spaces, manifolds, smooth homotopy types, supergeometry
Differentials
Tangency
The magic algebraic facts
Theorems
Axiomatics
Models
smooth algebra (-ring)
differential equations, variational calculus
Chern-Weil theory, ∞-Chern-Weil theory
Cartan geometry (super, higher)
The Hitchin-Thorpe inequality states the Euler characteristic is larger than one and a half times the absolute signature for a smooth..