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

Discussion Tag Cloud

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: integral Steenrod square

Bottom of Page

1 to 3 of 3

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeFeb 19th 2018

    started a minimum for integral Steenrod square

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeFeb 19th 2018

    I have added as an example here the observation that after canonical lifting Sq^ ℤ 2n+1\widehat{Sq}^{2n+1}_{\mathbb{Z}} of the integral Steenrod squares to ordinary differential cohomology and then restriction to the subspace of cocyles whose underlying integral Steenrod square vanishes, we obtain a canonical map

    H diff 2n+2(X)| Sq ℤ 2n+1=0⟶Sq^ ℤ 2n+1H dR 4n+3(X) H^{2n+2}_{diff}(X)|_{Sq^{2n+1}_{\mathbb{Z}} = 0} \overset{\widehat{Sq}_{\mathbb{Z}}^{2n+1}}{\longrightarrow} H^{4n+3}_{dR}(X)

    from differential cohomology (subject to that condition) in degree 2n+22n+2 to de Rham cohomology in degree 3n+33n+3.

    I’d like to have an explicit description of this map on differential form representatives…

  3. fixed grading (Sq^2n adds +2n)

    Anonymous

    diff, v4, current

1 to 3 of 3

  1.