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 definitions 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 k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum 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 > nLab General Discussions: 2-equivariant elliptic cohomology

Bottom of Page

1 to 5 of 5

  1.  
    • CommentRowNumber1.
    • CommentAuthorZhen Huan
    • CommentTimeMar 8th 2024
    My question is whether there is a reference for this example in the entry, https://ncatlab.org/nlab/show/equivariant+elliptic+cohomology#2EquivariantEllipticCohomology which gives an example of 2-equivariant elliptic cohomology theory acted by string 2-group.

    I am also a little curious whether the example is motivated by twisted equivariant Tate K-theory, which has similar form to the $\chi$-twisted $A$-cohomology spectrum given at the end of the section.
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 8th 2024

    I wrote that section (here) in revision 13 in November 2013. Beyond the pointer to Lurie 2009 it does not invoke further references.

    At that time I was developing related constructions as a research project titled Higher theta functions and higher CS-WZW holography.

    But it wasn’t funded and the application process demoralized me, so that I haven’t develop this further (I switched to constructing M-theory, instead ;-).

    But I am still fond of the ideas laid out behind the above link… as far as I can remember them now…

    • CommentRowNumber3.
    • CommentAuthorZhen Huan
    • CommentTimeMar 9th 2024
    Thanks.
    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeMar 9th 2024

    I switched to constructing M-theory, instead ;-)

    Should we expect results from the switch to make contact at some point with the earlier program?

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMar 9th 2024

    Could well be.

1 to 5 of 5

  1.