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nLab > Latest Changes: Lagrangian correspondence

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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJun 8th 2013

    Added to Lagrangian correspondence after the Definition a remark on how Lagrangian correspondence are correspondences in the slice topos of smooth spaces over the moduli space of closed differential 2-forms.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 4th 2013
    • (edited Sep 4th 2013)

    have added to the beginning of Lagrangian correspondence (and also of symplectic category) a brief remark on what Lagrangian correspondences have to do with symplectomorphisms and hence evolution in mechanics.

    (Also pointed to a recent article by Cattaneo-Mnev-Reshetikhin where this is expanded on in the context of perturbatuve BV-quantization of field theory.)

    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTimeSep 4th 2013

    I added a supporting stub pseudoholomorphic curve.

    • CommentRowNumber4.
    • CommentAuthorzskoda
    • CommentTimeSep 4th 2013
    • (edited Sep 4th 2013)

    I added references to pseudoholomorphic curve. The references (and even interviews) of Gromov at the IHES web do not seem to work at the moment, including the one put on this page.

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTimeDec 1st 2023

    Added:

    The category of symplectic manifolds and Lagrangian correspondences is defined in

    The (∞,1)-category of symplectic manifolds and Lagrangian correspondences is defined in

    • Damien Calaque, Three lectures on derived symplectic geometry and topological field theories, Indagationes Mathematicae 25:5 (2014) 926–947. doi.

    • Rune Haugseng, Iterated spans and classical topological field theories, Mathematische Zeitschrift 289:3 (2018), 1427–1488. arXiv, doi.

    diff, v14, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeDec 1st 2023

    this is about the symplectic category

    diff, v15, current

1 to 6 of 6

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