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Elliptic genera of homogeneous spin

時間:2023-04-29 09:37:18 數(shù)理化學論文 我要投稿
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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: 中國科學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: O1  關鍵詞: fixed point formula   Witten rigidity theorem   elliptic genus   Jacobi theta functions  

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