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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 28th 2019

    Have added a bunch of references to this entry.

    Question: What precisely can one say about the relation between the topological space underlying the Hilbert scheme of points of \mathbb{C} and/or 2\mathbb{C}^2, and the Fulton-MacPherson compactification of the corresponding configuration spaces of points?

    There is commentary in just this direction on p. 189 of:

    but it remains unclear to me what exactly the statement is, in the end.

    diff, v6, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeNov 6th 2019

    added pointer to

    • Artan Sheshmani, Hilbert Schemes, Donaldson-Thomas Theory, Vafa-Witten and Seiberg Witten theories (arxiv:1911.01796)

    diff, v7, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 29th 2019

    added pointer to discussion of the Hilbert scheme of points on K3-surfaces with an eye towards Rozansky-Witten theory:

    diff, v8, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeDec 29th 2019

    added these pointers:

    • Hiraku Nakajima, Lectures on Hilbert schemes of points on surfaces, University Lecture Series, vol. 18, American Mathematical Society, Providence, RI, 1999 (ams:ulect-18)

    • Hiraku Nakajima, More lectures on Hilbert schemes of points on surfaces, Advanced Studies in Pure Mathematics 69, 2016, Development of Moduli Theory – Kyoto 2013, 173-205 (arXiv:1401.6782)

    diff, v9, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeDec 29th 2019
    • (edited Dec 29th 2019)

    added pointers to discussion of the Hilbert schemes of points of ADE-singularities:

    See also:

    diff, v12, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeDec 30th 2019

    added references on identification of Higgs branches/Coulomb branches in D=3 N=4 super Yang-Mills theory with Hilbert schemes of points of complex curves:

    diff, v14, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJan 2nd 2020

    added pointer on discussion in the context of Witten indices and K-theoretic enumerative geometry:

    diff, v15, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeJan 14th 2020

    added pointer to today’s

    • Hiraku Nakajima, Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras (arXiv:2001.03834)

    diff, v16, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeJul 28th 2021

    added pointer to:

    diff, v19, current