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 finite 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 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 sheaves 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: universal complex orientation on MU

Bottom of Page

1 to 4 of 4

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 12th 2020
    • (edited Nov 12th 2020)

    fixed a typo

    (the complex numbers appeared as “𝔹\mathbb{B}” a few lines in a row, apparently copy-and-pasted onwards)

    diff, v17, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeNov 16th 2020
    • (edited Nov 16th 2020)

    fixed another typo

    (in a formula inside a proof, a universal bundle EU(n)E U(n) should have been its base space BU(n) B U(n)).

    diff, v18, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 29th 2020
    • (edited Dec 29th 2020)

    added brief pointer to the universal finite-rank orientation on MΩΩSU(n), from Hopkins’s thesis

    diff, v21, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJan 25th 2021
    • (edited Jan 25th 2021)

    It makes no sense that this Lemma – on the Thom space of the universal line bundle being weakly homotopy equivalent to the base space – is hidden within this entry here.

    Therefore I will (later today) give this lemma its own stand-alone page:

    This will also make room to spell out a less sketchy proof of it.

    diff, v26, current

1 to 4 of 4

  1.