A general construction of Weil functors

Details A general construction of Weil functors A general construction of Weil functors

2011-11-10

arxiv.org/abs/1111.2463v2

Mathematics

Differential Geometry

V2: minor corrections and improvements

Scientific paper

We construct the Weil functor $T^A$ corresponding to a general Weil algebra $A = K \oplus N$: this is a functor from the category of manifolds over a general topological base field or ring $K$ (of arbitrary characteristic) to the category of manifolds over $A$. This result simultaneously generalizes results known for ordinary, real manifolds, and previous results by the first author for the case of the higher order tangent functors ($A = T^k K$) and for the case of jet rings ($A = K[X]/(X^{k+1})$). We investigate some algebraic aspects of these general Weil functors ("K-theory of Weil functors", action of the "Galois group" $\Aut_K(A)$), which will be of importance for subsequent applications to general differential geometry.

Affiliated with

Also associated with

No associations

Rating

A general construction of Weil functors does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A general construction of Weil functors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A general construction of Weil functors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-727835