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Calculations of the Hirzebruch $χ_y$ genera of symmetric products by the holomorphic Lefschetz formula

Jian Zhou
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Abstract

We calculate the Hirzebruch $χ_y$ and $\hatχ_y$-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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Jian Zhou. 1999-10-05. Calculations of the Hirzebruch $χ_y$ genera of symmetric products by the holomorphic Lefschetz formula. https://arxiv.org/abs/math/9910029

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