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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeAug 28th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexa bare list of references, to be `!include`-ed into the list of references of relevant entries (such as _[[Chern-Weil homomorphism]]_ and _[[Chern-Simons theory]]_) <a href="https://ncatlab.org/nlab/revision/Chern-Weil+homomorphism+--+references/1">v1</a>, <a href="https://ncatlab.org/nlab/show/Chern-Weil+homomorphism+--+references">current</a>

   a bare list of references, to be !include-ed into the list of references of relevant entries (such as Chern-Weil homomorphism and Chern-Simons theory)

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeAug 28th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer also to * [[Shiing-Shen Chern]], Chapter III of: _Topics in Differential Geometry_, Institute for Advanced Study (1951) ([pdf](https://ncatlab.org/nlab/files/Chern-IASNotes1951.pdf)) which has more details than the original Chern 50 <a href="https://ncatlab.org/nlab/revision/Chern-Weil+homomorphism+--+references/1">v1</a>, <a href="https://ncatlab.org/nlab/show/Chern-Weil+homomorphism+--+references">current</a>

   added pointer also to

   • Shiing-Shen Chern, Chapter III of: Topics in Differential Geometry, Institute for Advanced Study (1951) (pdf)

   which has more details than the original Chern 50

   v1, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeOct 29th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to the appendix of * [[Victor Guillemin]], [[Shlomo Sternberg]], _Supersymmetry and equivariant de Rham theory_, Springer 1999 ([doi:10.1007/978-3-662-03992-2](https://link.springer.com/book/10.1007/978-3-662-03992-2)) for re-prints of the original articles by Cartan <a href="https://ncatlab.org/nlab/revision/diff/Chern-Weil+homomorphism+--+references/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/Chern-Weil+homomorphism+--+references/3">v3</a>, <a href="https://ncatlab.org/nlab/show/Chern-Weil+homomorphism+--+references">current</a>

   added pointer to the appendix of

   • Victor Guillemin, Shlomo Sternberg, Supersymmetry and equivariant de Rham theory, Springer 1999 (doi:10.1007/978-3-662-03992-2)

   for re-prints of the original articles by Cartan

   diff, v3, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeOct 29th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexand cross-linked with _[[Cartan's map]]_ <a href="https://ncatlab.org/nlab/revision/diff/Chern-Weil+homomorphism+--+references/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/Chern-Weil+homomorphism+--+references/3">v3</a>, <a href="https://ncatlab.org/nlab/show/Chern-Weil+homomorphism+--+references">current</a>

   and cross-linked with Cartan’s map

   diff, v3, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeJun 9th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded these pointers: *** With an eye towards applications in [[mathematical physics]]: * [[Mikio Nakahara]], Chapter 11.1 of: _[[Geometry, Topology and Physics]]_, IOP 2003 ([doi:10.1201/9781315275826](https://doi.org/10.1201/9781315275826), <a href="http://alpha.sinp.msu.ru/~panov/LibBooks/GRAV/(Graduate_Student_Series_in_Physics)Mikio_Nakahara-Geometry,_Topology_and_Physics,_Second_Edition_(Graduate_Student_Series_in_Physics)-Institute_of_Physics_Publishing(2003).pdf">pdf</a>) * [[Gerd Rudolph]], [[Matthias Schmidt]], Chapter 4 of: *Differential Geometry and Mathematical Physics Part II. Fibre Bundles, Topology and Gauge Fields*, Springer 2017 ([doi:10.1007/978-94-024-0959-8](https://link.springer.com/book/10.1007/978-94-024-0959-8)) *** <a href="https://ncatlab.org/nlab/revision/diff/Chern-Weil+homomorphism+--+references/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/Chern-Weil+homomorphism+--+references/5">v5</a>, <a href="https://ncatlab.org/nlab/show/Chern-Weil+homomorphism+--+references">current</a>

   added these pointers:

   ---

   With an eye towards applications in mathematical physics:

   • Mikio Nakahara, Chapter 11.1 of: Geometry, Topology and Physics, IOP 2003 (doi:10.1201/9781315275826, pdf)

   • Gerd Rudolph, Matthias Schmidt, Chapter 4 of: Differential Geometry and Mathematical Physics Part II. Fibre Bundles, Topology and Gauge Fields, Springer 2017 (doi:10.1007/978-94-024-0959-8)

   ---

   diff, v5, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeSep 17th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Camilo Arias Abad]], Santiago Pineda Montoya, Alexander Quintero Velez, *Chern-Weil theory for $\infty$-local systems* &lbrack;[arXiv:2105.00461](https://arxiv.org/abs/2105.00461)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Chern-Weil+homomorphism+--+references/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/Chern-Weil+homomorphism+--+references/8">v8</a>, <a href="https://ncatlab.org/nlab/show/Chern-Weil+homomorphism+--+references">current</a>

   added pointer to:

   • Camilo Arias Abad, Santiago Pineda Montoya, Alexander Quintero Velez, Chern-Weil theory for $\infty$-local systems [arXiv:2105.00461]

   diff, v8, current