Calculations of the Hirzebruch chi_y genera of symmetric products by the holomorphic Lefschetz formula
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🧮 math.DG
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citeformulagenerahirzebruchholomorphiclefschetzproductssymmetric
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We calculate the Hirzebruch $\chi_y$ and $\hat{\chi}_y$-genera of symmetric products of closed complex manifolds by the holomorphic Lefschetz formula of Atiyah and Singer \cite{Ati-Sin}. Such calculation rederive some formulas proved in an earlier paper \cite{Zho} by a different method.
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