Not signed in (Sign In)

Not signed in

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

  • Sign in using OpenID

Site Tag Cloud

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

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

nLab > Latest Changes: equivariant ordinary differential cohomology

Bottom of Page

1 to 8 of 8

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJul 20th 2020
    • (edited Jul 20th 2020)

    starting a stub, for the moment just to record references.

    There is a plethora of constructions in the literature. Has anyone discussed in detail if/how these relate to the evident general abstract definition (maps of ∞\infty-stacks from the given geometric groupoid to the Deligne complex)?

    I see that some authors, like Redden, partially go in this direction, but I haven’t seen yet a comprehensive account to this extent.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeNov 12th 2020

    added pointer to today’s

    • Joe Davighi, Ben Gripaios, Oscar Randal-Williams, Differential cohomology and topological actions in physics (arXiv:2011.05768)

    diff, v5, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeNov 12th 2020

    added pointer to today’s

    • Joe Davighi, Ben Gripaios, Oscar Randal-Williams, Differential cohomology and topological actions in physics (arXiv:2011.05768)

    diff, v6, current

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeNov 12th 2020

    Is there anything in this that we couldn’t have picked up from your work?

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTimeNov 12th 2020

    Attempted to clarify the relationship between the definitions of Kübel-Thom and Redden vs. Gomi in the references.

    diff, v8, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeNov 12th 2020

    The last paragraph of the Idea section is also meant to deal with this.

    I seem to remember that Gomi’s definition is fine for finite groups?

    • CommentRowNumber7.
    • CommentAuthorDmitri Pavlov
    • CommentTimeNov 12th 2020

    Yes, Gomi’s definition only works for finite groups. (So, basically, orbifolds.)

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeNov 12th 2020

    Thanks, so that agrees with what is says in the main text. I have added the qualification about finite groups to Gomi’s reference item.

    diff, v9, current

1 to 8 of 8

  1.