Geometric construction of the Levi-Civita parallelism.
First neighbourhood of the diagonal, and geometric distributions.
Infinitesimal aspects of the Laplace operator.
Combinatorics of curvature, and the Bianchi identity.
Envelopes -- notion and definiteness.
Generators and relations for as a monoidal 2-category.
Glueing analysis for complemented subtoposes.
Some calculus with extensive quantities: Wave equation.
Aspects of fractional exponent functors.
Synthetic Reasoning In Differential Geometry.
On Double Dualization Monads.
Bilinearity and Cartesian Closed Monads.
A simple axiomatics for differentiation.
A geometric theory of harmonic and semi-conformal maps
We describe for any Riemannian manifold M a certain scheme M L, lying in between the first and second neighbourhood of the diagonal of M. Semi-conformal maps between Riemannian manifolds are then analyzed as those maps that preserve M L; harmonic maps are analyzed as those that preserve the (Levi-Civita-) mirror image formation inside M L.
Formal manifolds and synthetic theory of jet bundles
The algebraic theory of moving frames
Differential forms with values in groups (preliminary report)
Convenient vector spaces embed into the Cahiers topos
Erratum to “Convenient vector spaces embed into the Cahiers topos”
The stack quotient of a groupoid
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