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nLab > Latest Changes: Atiyah-Singer index theorem

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  1.  
    • CommentRowNumber1.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 12th 2019

    Where the page has

    The index theorem is supposed to have an interpretation in terms of the quantum field theory of the superparticle on the given space,

    is the “is supposed to” necessary? Why not “has an interpretation”? Is it just the general issue of any translation from mathematics to physics?

    diff, v8, current

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 12th 2019

    Added details of a talk

    • Rafe Mazzeo, The Atiyah-Singer Index theorem: what it is and why you should care, (slides)

    diff, v8, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJan 12th 2019

    Right, the “supposed to” need not be there.

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 12th 2019

    Ok, so have changed that.

    diff, v9, current

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeFeb 16th 2021

    Replaced a dead link

    • Rafe Mazzeo, The Atiyah-Singer Index theorem: what it is and why you should care, (slides)

    Seems rather a slight page.

    diff, v11, current

    • CommentRowNumber6.
    • CommentAuthorDavid_Corfield
    • CommentTimeFeb 16th 2021
    • (edited Feb 16th 2021)

    Linked to the relevant section at supersymmetric quantum mechanics.

    In case anyone’s wondering why the interest, John Baez announced the death of Singer on the nnCafé.

    diff, v12, current

    • CommentRowNumber7.
    • CommentAuthorDavid_Corfield
    • CommentTimeFeb 17th 2021

    John Baez mentioned this paper

    • Florian Hanisch, Matthias Ludewig, A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold, (arXiv:1709.10027)

    so I added it, but maybe it needs a word to distinguish it from the two above described as “traditional physics arguments”.

    diff, v13, current

    • CommentRowNumber8.
    • CommentAuthorDavid_Corfield
    • CommentTimeSep 21st 2021

    Added a talk to references

    diff, v14, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeJun 9th 2023

    added pointer to:

    diff, v15, current

1 to 9 of 9

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