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nLab > Latest Changes: rigidity theorem for elliptic genera

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 14th 2020

    starting something, not done yet but need to save

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeNov 16th 2020
    • (edited Nov 16th 2020)

    added pointer to the original articles:

    The statement, with a string theory-motivated plausibility argument, is due to

    The first proof was given in

    Review in

    • Raoul Bott, On the Fixed Point Formula and the Rigidity Theorems of Witten, Lectures at Cargése 1987. In: ’t Hooft G., Jaffe A., Mack G., Mitter P.K., Stora R. (eds) Nonperturbative Quantum Field Theory. NATO ASI Series (Series B: Physics), vol 185. Springer (1988) (doi:10.1007/978-1-4613-0729-7_2)

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeNov 16th 2020

    also this one:

    • Friedrich Hirzebruch, Elliptic Genera of Level NN for Complex Manifolds, In: Bleuler K., Werner M. (eds) Differential Geometrical Methods in Theoretical Physics NATO ASI Series (Series C: Mathematical and Physical Sciences), vol 250. Springer (1988) (doi:10.1007/978-94-015-7809-7_3)

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 16th 2020

    as well as this one:

    • I. M. Krichever, Generalized elliptic genera and Baker-Akhiezer functions, Mathematical Notes of the Academy of Sciences of the USSR 47, 132–142 (1990) (doi:10.1007/BF01156822)

    diff, v3, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeNov 16th 2020
    • (edited Nov 16th 2020)

    and this one:

    diff, v3, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeNov 17th 2020

    added this pointer:

    diff, v5, current

1 to 6 of 6

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