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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geometry, complex numbers, complex line
complex geometry
complex manifold, complex structure
complex analytic space
generalized complex geometry
dim=1: Riemann surface, super Riemann surface
Calabi-Yau manifold
generalized Calabi-Yau manifold
manifolds and cobordisms
manifold
coordinate chart, atlas
orientation, spin structure, string structure, fivebrane structure
smooth manifold, Riemannian manifold, complex manifold
cobordism
B-bordism
extended cobordism
cobordism category
(∞,n)-category of cobordisms
Thom spectrum
cobordism ring
genus
infinite dimensional manifold
signature genus, Kervaire invariant
A-hat genus, Witten genus
Thom's transversality theorem
Pontrjagin-Thom construction
Galatius-Tillmann-Madsen-Weiss theorem
geometrization conjecture,
Poincaré conjecture
elliptization conjecture
cobordism hypothesis-theorem
A super Riemann surface is the analog of a Riemann surface in supergeometry.
Edward Witten, Notes On Super Riemann Surfaces And Their Moduli (arXiv:1209.2459)
Ron Donagi, Edward Witten, Supermoduli Space Is Not Projected (arXiv:1304.7798)