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\(-1\)-phenomena for the pluri \(\chi_y\)-genus and elliptic genus - MaRDI portal

\(-1\)-phenomena for the pluri \(\chi_y\)-genus and elliptic genus (Q2346661)

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\(-1\)-phenomena for the pluri \(\chi_y\)-genus and elliptic genus
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    \(-1\)-phenomena for the pluri \(\chi_y\)-genus and elliptic genus (English)
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    3 June 2015
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    The famous Hirzebruch \(\chi_y\)-genus has an interesting feature that the coefficients of the Taylor expansion of \(\chi_y\)-genus at \(y=-1\) have explicit expressions called \(-1\)-phenomena. In this well-witten and interesting paper, the author extends this \(-1\)-phenomena to the pluri-case and the case of elliptic genus. Some interesting applications are also given.
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    \(\chi_y\)-genus
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    pluri-genus
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    elliptic genus
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    elliptic operator
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    characteristic number
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    Jacobi form
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    modular form
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