superalgebra and (synthetic ) supergeometry
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)
Synthetic differential supergeometry pairs the concepts of
with those of
David Yetter, Models for synthetic supergeometry, Cahiers, 29, 2 (1988) (NUMDAM)
David Carchedi, Dmitry Roytenberg, On theories of superalgebras of differentiable functions, Theory and Applications of Categories, Vol. 28, 2013, No. 30, pp 1022-1098. (arxiv:1211.6134, TAC)
The article
considers manifolds with odd and even nilpotent functions: formal supermanifolds.
Last revised on November 30, 2016 at 21:16:17. See the history of this page for a list of all contributions to it.