Elliptic genera of homogeneous spin manifolds and theta functions identities

By Witten rigidity theorem and the Atiyah-Bott-Segal-Singer Lefschetz fixed point formula, the elliptic genus of a homogeneous spin manifold G/H can be expressed as a sum of theta functions quotients over the Weyl group of G. Consequently, we obtainseveral classes of combinatorial identities of theta functions.

作 者： SONG Ruifang   作者單位： Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China  刊 名： 中國(guó)科學(xué)A輯（英文版）  SCI 英文刊名： SCIENCE IN CHINA SERIES A (MATHEMATICS)  年，卷(期)： 2005 48(12)  分類號(hào)： O1  關(guān)鍵詞： fixed point formula   Witten rigidity theorem   elliptic genus   Jacobi theta functions  

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