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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 17th 2020
    • (edited Nov 17th 2020)

    a bare list of references, to be !include-ed into relevant entries (such as Witten genus, M5-brane elliptic genus but also inside elliptic cohomology – references) – for ease of harmonizing lists of references

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeNov 19th 2020

    added pointer to:

    diff, v7, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeNov 29th 2020

    added pointer to:

    • M. Nouman Muteeb, Domain walls and M2-branes partition functions: M-theory and ABJM Theory (arXiv:2010.04233)

    diff, v8, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 29th 2020

    and this one:

    diff, v8, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMar 24th 2021
    • (edited Mar 24th 2021)

    added pointer to today’s

    diff, v11, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJul 25th 2021

    added these early references:

    diff, v12, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJul 26th 2021

    I have added/expanded (here) the section “Conjectural interpretation in tmf-cohomology”, which now, after the previous pointer to Stolz & Teichner, continues with these more recent pointers:


    and the more explicit suggestion that, under this identification, the Chern-Dold character from tmf to modular forms, sends a 2d SCFT to its partition function/elliptic genus/supersymmetric index:

    This perspective is also picked up in Gukov, Pei, Putrov & Vafa 18.

    Discussion of the 2d SCFTs (namely supersymmetric SU(2)-WZW-models) conjecturally corresponding, under this conjectural identification, to

    the elements of /24\mathbb{Z}/24 \simeq tmf 3(*)=π 3(tmf) tmf^{-3}(\ast) = \pi_3(tmf) \simeq π 3(𝕊)\pi_3(\mathbb{S}) (the third stable homotopy group of spheres):


    diff, v13, current

  1. added pointer to:

    Anonymous

    diff, v17, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeOct 28th 2022

    added pointer to today’s

    • Jan Albert, Justin Kaidi, Ying-Hsuan Lin, Topological modularity of Supermoonshine [[arXiv:2210.14923]]

    diff, v18, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeDec 2nd 2022

    I have polished up the publication data for Witten”s “Index of Dirac operator on loop space” and then added to it pointer to this lesser known article, where the origin of the idea is described in more detail:

    diff, v19, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeDec 15th 2022

    added pointer to today’s

    • Kimyeong Lee, Kaiwen Sun, Xin Wang, Twisted Elliptic Genera [arXiv:2212.07341]

    diff, v20, current

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeDec 15th 2022

    added publication data for these two items:

    diff, v21, current

    • CommentRowNumber13.
    • CommentAuthorUrs
    • CommentTimeFeb 16th 2023

    added pointer to today’s:

    diff, v22, current

    • CommentRowNumber14.
    • CommentAuthorUrs
    • CommentTimeAug 25th 2023

    added pointer to today’s

    • Kohki Kawabata, Shinichiro Yahagi, Elliptic genera from classical error-correcting codes [[arXiv:2308.12592]]

    diff, v25, current

    • CommentRowNumber15.
    • CommentAuthorUrs
    • CommentTimeMar 15th 2024
    • (edited Mar 15th 2024)

    added pointer to today’s:

    diff, v27, current

    • CommentRowNumber16.
    • CommentAuthorUrs
    • CommentTimeApr 10th 2024

    added pointer to today’s

    diff, v28, current

    • CommentRowNumber17.
    • CommentAuthorUrs
    • CommentTimeMay 15th 2024

    added pointer to today’s

    diff, v29, current