bundles
fiber bundle, fiber ∞-bundle
principal bundle, principal ∞-bundle
principal 2-bundle, principal 3-bundle
circle bundle, circle n-bundle
associated bundle, associated ∞-bundle
gerbe, 2-gerbe, ∞-gerbe,
local coefficient bundle
vector bundle, (∞,1)-vector bundle
universal principal ∞-bundle
subobject classifier, object classifier
bundle gerbe
groupal model for universal principal ∞-bundles
microbundle
Hopf fibration
prequantum circle bundle, prequantum circle n-bundle
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geometry, complex numbers, complex line
complex geometry
complex manifold, complex structure
complex analytic space
generalized complex geometry
complex supermanifold
$dim = 1$: Riemann surface, super Riemann surface
Calabi-Yau manifold
generalized Calabi-Yau manifold
A complex vector bundle over a complex manifold such that it admits transition functions that are holomorphic functions.
Kodaira vanishing theorem
Kähler polarization
See also