an:05929770
Zbl 1217.58015
Song, Ruifang
Elliptic genera of homogeneous spin manifolds and theta functions identities
EN
Sci. China, Ser. A 48, No. 12, 1637-1645 (2005).
00124844
2005
j
58J26 11F27 58J20
fixed point formula; Witten rigidity theorem; elliptic genus; Jacobi theta functions
Summary: By the 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 obtain several classes of combinatorial identities of theta functions.