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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeOct 19th 2023
    • (edited Oct 19th 2023)

    I am preparing an entry for the Encyclopedia of Mathematical Physics 2nd ed:

    \,

    \,

    Early draft now available at that link.

    Will be presenting this tomorrow at a CQTS-workshop on Homotopy Theory and Applications.

    Comments are welcome.

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeOct 20th 2023

    Just a couple of typos for now:

    anlogous; Phsyics

    And you have both ’Snglr’ and ’Snglrt’

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeOct 20th 2023

    Thanks, fixed now.

    I want to say Snglrt\mathbf{Snglrt} for the 2-category of singulariTies and SnglrHPSh (Snglrt,H)\mathbf{Snglr}\mathbf{H} \coloneqq PSh_\infty(\mathbf{Snglrt, \mathbf{H}}) for the singular version of H\mathbf{H}.

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeOct 20th 2023
    • (edited Oct 20th 2023)

    Second column of p.9, should that be SnglrGrpd \mathbf{Snglr} \hookrightarrow \mathbf{Grpd}_{\infty}?

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeOct 20th 2023

    Probably worth referencing a paper or two of your own, maybe Proper Orbifold Cohomology.

    • CommentRowNumber6.
    • CommentAuthorJ-B Vienney
    • CommentTimeOct 20th 2023
    • (edited Oct 20th 2023)

    I love this paper, thank you for writing it. Very helpful to get the main ideas of the field :)

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeOct 20th 2023

    Thanks for the feedback.

    Just tried it as a presentation on an audience of topologists and mathematical physicists, and it seems to work well. Will post the video recording when it becomes available.

    (And I have added another remark that the document is in preparation and that references are (evidently?! :-) still missing.)

    • CommentRowNumber8.
    • CommentAuthorDavid_Corfield
    • CommentTimeSep 30th 2024

    Just saw a typo in (6), XX' should be YY.

    Also,

    For further introduction to sheaf toposes see e.g. [Schreiber 2018] [Schapira 2023] and

    looks like ’and’ in the wrong place.

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeSep 30th 2024

    Thanks! Fixed now (in the pdf here, still waiting for the galley proofs to make corrections there).

    • CommentRowNumber10.
    • CommentAuthorDavid_Corfield
    • CommentTimeSep 30th 2024

    A couple more:

    On p.4 in the line before

    In field theory this is the case for (Green-Schwarz type)…

    presumably the pp should be n+2n+2 in Ω dR p\mathbf{\Omega}^p_{dR}.

    And there’s

    wih

    on p. 10.

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeSep 30th 2024

    Right. Thanks again! Fixed now.