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nLab > Latest Changes: Kuo Tsai Chen

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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJul 11th 2013
    • (edited Jul 11th 2013)

    surprised that we didn’t have this “people”-entry before, now we do: Kuo Tsai Chen

    • CommentRowNumber2.
    • CommentAuthorjim_stasheff
    • CommentTimeAug 15th 2013
    and no entry for Chen connection?
    wiki doesn't have one either!
    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeAug 16th 2013

    Do you mean the notion in

    • Kuo Tsai Chen, Smooth maps, pullback path spaces, connections, and torsions, Trans. Amer. Math. Soc. 297 (1986), 617-627 (web)

    ?

    • CommentRowNumber4.
    • CommentAuthorDavidRoberts
    • CommentTimeAug 16th 2013

    Added the obvious link to iterated integral.

    • CommentRowNumber5.
    • CommentAuthorjim_stasheff
    • CommentTimeAug 16th 2013
    That reference is one of many:

    MR0854088 Reviewed Chen, Kuo Tsai Smooth maps, pullback path spaces, connections, and torsions. Trans. Amer. Math. Soc. 297 (1986), no. 2, 617–627. (Reviewer: J. W. Auer) 58A12 (55N10 55T20 58A40)

    MR0749044 Reviewed Chen, Kuo Tsai Loop spaces and differential forms. Algebraic homotopy and local algebra (Luminy, 1982), 87–95, Astérisque, 113-114, Soc. Math. France, Paris, 1984. (Reviewer: Yves Félix) 58A12 (55P62)

    MR0528664 Reviewed Chen, Kuo Tsai Path space differential forms and transports of connections. Bull. Inst. Math. Acad. Sinica 6 (1978), no. 2, part 2, 457–477. (Reviewer: Daniel Tanré) 58A12 (53C05 55P62)

    MR0454968 Reviewed Chen, Kuo Tsai Iterated path integrals. Bull. Amer. Math. Soc. 83 (1977), no. 5, 831–879. (Reviewer: Jean-Michel Lemaire) 55D35 (58A99)

    MR0440540 Reviewed Chen, Kuo Tsai Connections, holonomy and path space homology. Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Part 1, Stanford Univ., Stanford, Calif., 1973), pp. 39–52. Amer. Math. Soc., Providence, R. I., 1975. (Reviewer: Akira Asada) 55D15 (58A10)

    MR0380858 Reviewed Chen, Kuo-tsai Differential forms and homotopy groups. J. Differential Geometry 6 (1971/72), 231–246. (Reviewer: H. H. Johnson) 58A10 (57D99)


    If desired, I can pick my favorite
    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeAug 16th 2013

    If desired, I can pick my favorite

    Sorry, Jim, I am not sure that I understand what your message is. Are you making a suggestion about some additions to the nLab or are you asking for related literature? Or else?

    • CommentRowNumber7.
    • CommentAuthorjim_stasheff
    • CommentTimeAug 17th 2013
    Sorry - too elliptical I guess.
    I was suggesting that his people entry include at least the above papers, but more
    importantly, I would like a link to Chen's connection. It's a really neat idea though it's a connection in the sense of a connection *form*. It shows up, perhaps independently, it the work of e.g. Abad&Crainic
    on reps up to homotopy. Btw, do we have `Representations up to homotopy' in n-lab?
    • CommentRowNumber8.
    • CommentAuthorjim_stasheff
    • CommentTimeAug 17th 2013
    Apologies for that last query. Yes, it's titled \infty- representations but could use some more refs including other work of Abad&Crainic

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