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nLab > Latest Changes: symplectic groupoid

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeOct 26th 2009

    created stub for symplectic groupoid, effectively just regording my blog entries on Eli Hawkins' program of geometric quantization of Poisson manifolds

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeNov 3rd 2009
    added definition and basic properties to symplectic groupoid, also one more blog reference
    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeFeb 2nd 2013
    • (edited Feb 2nd 2013)

    Have expanded the definition-section and added References to symplectic groupoid.

    I thought for a while that nowhere in the literature is the observation that a symplectic groupoid really is a 2-plectic structure and that its prequantization really involves a prequantum 2-bundle.

    But now I found, to my relief, that this is essentially made explicit in

    • Camille Laurent-Gengoux, Ping Xu, Quantization of pre-quasi-symplectic groupoids and their Hamiltonian spaces in The Breadth of Symplectic and Poisson Geometry Progress in Mathematics, 2005, Volume 232, 423-454 (arXiv:math/0311154)
    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 27th 2023

    have polished up some of the references.

    Can’t find any online trace of this one, anymore:

    • Alan Weinstein, Noncommutative geometry and geometric quantization, in P. Donato et al. (eds.) Symplectic geometry and Mathematical physics, Progr. Math 99 Birkhäuser (1991) 446-461

    diff, v29, current

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTimeNov 27th 2023

    Added a DOI for Weinstein: doi.

    diff, v30, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeNov 27th 2023

    But it’s dead, no?

    • CommentRowNumber7.
    • CommentAuthorDmitri Pavlov
    • CommentTimeNov 27th 2023

    The DOI is clearly valid, since it redirects to the Springer website. It also has the correct bibliographic information associated to it.

    The very point of a DOI is that it remains valid even if the website itself is malfunctioning.

    In this case, the whole Progress in Mathematics series appears to have malfunctioning DOI links. Presumably this will be noticed and fixed soon by Springer.

    • CommentRowNumber8.
    • CommentAuthorDavidRoberts
    • CommentTimeNov 28th 2023

    @Dmitri this still works: https://www.springer.com/series/4848/books?page=33. As does this much newer volume: https://doi.org/10.1007/978-3-031-27234-9, but the older books don’t seem to work.

1 to 8 of 8

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