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nLab > Latest Changes: Adams operation

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  1.  
    • CommentRowNumber1.
    • CommentAuthorJohn Baez
    • CommentTimeJun 20th 2018

    I added a clearer “The idea” section for Adams operation, and changed the word “functorial” to “natural” in a number of places, because while various sources do say the Adams operations are functorial, they must really be natural transformations from the functor K:Top→AbGpK: Top \to AbGp to itself.

    diff, v10, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 26th 2018

    added references for Adams operations specifically on representation rings (here).

    diff, v13, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 2nd 2020

    added pointer to the original

    and to the review

    • Marcelo Aguilar, Samuel Gitler, Carlos Prieto, Section 10 of: Algebraic topology from a homotopical viewpoint, Springer (2002)

    diff, v15, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 29th 2020

    added statement of the compatibility of the Adams operations with the Chern character (here).

    Will also give this its own page Adams operations compatible with the Chern character, for ease of cross-linking and referencing.

    diff, v17, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJan 5th 2021

    added brief statement (here) of the action of the Adams operations over 2n2n-spheres (without the proof, but with a pointer to a proof)

    diff, v22, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJan 7th 2021

    have added brief statement (here) of the compatibility with complexification

    and added this reference:

    diff, v25, current

    • CommentRowNumber7.
    • CommentAuthorJohn Baez
    • CommentTimeOct 9th 2024

    Gave a proof that the kth Adams operation, applied to the K-theory class of a line bundle, gives the class of the kth tensor power of that line bundle.

    diff, v28, current

    • CommentRowNumber8.
    • CommentAuthorJohn Baez
    • CommentTimeOct 9th 2024

    Added proof of property 1 of the Adams operations.

    diff, v29, current

1 to 8 of 8

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