superalgebra
and
supergeometry
superpoint
super ∞-groupoid, smooth super ∞-groupoid, synthetic differential super ∞-groupoid
synthetic differential supergeometry
super vector space, SVect
super algebra
Grassmann algebra
Clifford algebra
superdeterminant
super Lie algebra
supermanifold, SDiff
super Lie group
super translation group
super Euclidean group
NQ-supermanifold
super vector bundle
complex supermanifold
Euclidean supermanifold
integration over supermanifolds
supersymmetry
division algebra and supersymmetry
supergravity
supersymmetric quantum mechanics
geometric model for elliptic cohomology
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The notion of parallel transport in supergeometry.
The basic ideas are discussed in
The relation to the Chern character is established in