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 作者单位： Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China 刊 名： 中国科学A辑（英文版） SCI 英文刊名： SCIENCE IN CHINA SERIES A (MATHEMATICS) 年，卷(期)： 2005 48(12) 分类号： O1 关键词： fixed point formula Witten rigidity theorem elliptic genus Jacobi theta functions