Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

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
   • CommentTimeSep 27th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded to [[Chern-Simons element]] in the section <a href="http://ncatlab.org/nlab/show/Chern-Simons+element#StandardCS">Standard Chern-Simons form</a> a detailed pedestrian proof of how the standard Chern-Simons 3-form is reproduced from this machinery.

   added to Chern-Simons element in the section Standard Chern-Simons form a detailed pedestrian proof of how the standard Chern-Simons 3-form is reproduced from this machinery.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeFeb 9th 2011
   • (edited Feb 9th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have been working on the entry [[Chern-Simons element]]. The material that had been scattered in between after the definition and before the Examples-section I have put now into a new single subsection * <a href="http://nlab.mathforge.org/nlab/show/Chern-Simons+element#OriginAndRelatedConcepts">Origin and relation to other concepts</a> and then I added there a discussion * <a href="http://nlab.mathforge.org/nlab/show/Chern-Simons+element#PresentationForChernWeil">As a presentation for the oo-Chern-Weil homorphism</a>. This are effectively my talk notes for tomorrow. It is meant to indicate how the concrete construction in the subsection following it, * <a href="http://nlab.mathforge.org/nlab/show/Chern-Simons+element#ChernSimonsForms">Chern-Simons forms</a> is a presentation by an $\infty$-anafunctor of a nice canonical general abstract entity. But towards the end of that last subsection I have been running out of steam. What energy I have left I might spend on polishing some of the examples-sections now.

   I have been working on the entry Chern-Simons element.

   The material that had been scattered in between after the definition and before the Examples-section I have put now into a new single subsection

   • Origin and relation to other concepts

   and then I added there a discussion

   • As a presentation for the oo-Chern-Weil homorphism.

   This are effectively my talk notes for tomorrow. It is meant to indicate how the concrete construction in the subsection following it,

   • Chern-Simons forms

   is a presentation by an $\infty$-anafunctor of a nice canonical general abstract entity. But towards the end of that last subsection I have been running out of steam.

   What energy I have left I might spend on polishing some of the examples-sections now.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeSep 9th 2011
   • (edited Sep 9th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added to [[Chern-Simons element]] the dicussion and proof of the general formula for CS-elements of quadratic invariant polynomials for general $L_\infty$-algebras: in a new section [Properties -- Canonical CS-elements](http://ncatlab.org/nlab/show/Chern-Simons+element#CanonicalChernSimonsElement)

   I have added to Chern-Simons element the dicussion and proof of the general formula for CS-elements of quadratic invariant polynomials for general $L_\infty$-algebras: in a new section Properties – Canonical CS-elements

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeSep 11th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have stream-lined that discussion a little bit ([here](http://ncatlab.org/nlab/show/Chern-Simons+element#CanonicalChernSimonsElement)).

   I have stream-lined that discussion a little bit (here).