∞-Chern-Weil theory

∞-Chern-Simons theory

∞-Wess-Zumino-Witten theory

Chern-Weil theory

∞-Chern-Weil theory introduction

cohomology

∞-Lie theory

∞-Lie algebra cohomology

∞-Lie algebroid valued differential forms

∞-connection on a principal ∞-bundle

curvature

Bianchi identity

curvature characteristic form

covariant derivative

secondary characteristic class

Chern-Simons form

Chern-Weil homomorphism

Chern-Gauss-Bonnet theorem

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differential cohomology

differential geometry

connection on a bundle

differential characteristic class

differential function complex

differential orientation

ordinary differential cohomology

differential Thom class

differential characters,

Deligne cohomology

circle n-bundle with connection,

bundle gerbe with connection

differential K-theory

differential elliptic cohomology

differential cobordism cohomology

principal 2-bundle, principal ∞-bundle

connection on a 2-bundle, connection on an ∞-bundle

Chern-Weil theory in Smooth∞Grpd

higher holonomy

fiber integration in differential cohomology

fiber integration in ordinary differential cohomology

fiber integration in differential K-theory

gauge theory

gauge field

electromagnetic field

Yang-Mills field

Kalb-Ramond field/B-field

RR-field

supergravity C-field

supergravity

quantum anomaly

A section of a bundle with connection is called flat if its covariant derivative vanishes.

local section, global section

flat connection