synthetic differential geometry
Introductions
from point-set topology to differentiable manifolds
geometry of physics: coordinate systems, smooth spaces, manifolds, smooth homotopy types, supergeometry
Differentials
Tangency
The magic algebraic facts
Theorems
Axiomatics
Models
differential equations, variational calculus
Chern-Weil theory, ∞-Chern-Weil theory
Cartan geometry (super, higher)
This page is to record the reference:
Anders Kock (ed.):
Topos Theoretic Methods in Geometry
Various Publications Series 30
Aarhus University (1979)
compiling early discussions of synthetic differential geometry.
Contents:
Marie-Françoise Coste, Michel Coste:
The generic model of an -stable geometric extension of the theory of rings is of line type
Marie-Françoise Coste, Michel Coste:
Topologies for real algebraic geometry
Subtoposes of the ring classifier
Formally real local rings, and infinitesimal stability
Extracts from two letters to Anders Kock, March 1978
On the synthetic theory of vector fields
Connections in formal differential geometry
Christiane Rousseau:
Complex structures on topoi
Complexification of variable fields
Report on the Open House on Topos Theoretic Methods in Geometry and Analysis, Aarhus, May 10–24, 1978.
Last revised on December 22, 2025 at 15:06:59. See the history of this page for a list of all contributions to it.