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).
    • CommentRowNumber1.
    • CommentAuthorDavid_Corfield
    • CommentTimeJul 20th 2017
    • (edited Jul 20th 2017)

    I added to transchromatic character

    and

    • Takeshi Torii, HKR characters, p-divisible groups and the generalized Chern character, (pdf)
    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeJul 21st 2017
    • (edited Jul 21st 2017)

    The most accessible account for me that I’ve found on why a transchromatic character is a generalisation of an ordinary character is in the first 7 pages of an undergraduate thesis, albeit one supervised by Lurie:

    • Arpon Raksit, Characters in global equivariant cohomology theory, pdf

    Probably not what we’d normally use. Anyway, I’ll copy over the idea there of group characters as the zero-th cohomology of Map(S 1,BG)Map(S^1,B G).

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeOct 10th 2018

    added pointer to Raksit 15

    diff, v9, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeOct 10th 2018

    oh, we overlapped, I was just adding this

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeOct 10th 2018
    • (edited Oct 10th 2018)

    [ wrong thread ]

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeNov 8th 2020

    added publication data to:

    diff, v11, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJul 3rd 2021

    I have cross-linked with Huan’s inertia orbifold.

    It’s at the bottom of p. 2 of arXiv:1304.5194 that Stapleton almost writes down Huan’s inertia model. The place where this thought is picked up seems to be Remark 4.9 on p. 20. I still need to digest Stapleton’s notation more fully, but what that remark indicates is probably the co-free 2-action that I worked out here.

    diff, v14, current