On mod 2 and higher elliptic genera

DOI10.1007/BF02096624zbMath0763.58026MaRDI QIDQ1200674

Ke Feng Liu

Publication date: 16 January 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Dirac operatorcobordismAtiyah-Singer mod 2 indexmod 2 elliptic genera

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Elliptic genera (58J26) (mathrm{O})- and (mathrm{SO})-cobordism (57R75)

Related Items

GEOMETRY OF SPIN ANDSPIN^cSTRUCTURES IN THE M-THEORY PARTITION FUNCTION, Modular invariance and characteristic numbers, Rigidity of higher elliptic genera

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Elliptic genera and quantum field theory
• Sur les genres multiplicatifs définis par des intégrales elliptiques. (On multiplicative genera defined by elliptic integrals)
• C*-algebras, positive scalar curvature, and the Novikov conjecture
• Elliptic genera, involutions, and homogeneous spin manifolds
• Elliptic genera, modular forms over \(KO_ *\), and the Brown-Kervaire invariant
• Generalized elliptic genera and Baker-Akhiezer functions
• G-actions and the fundamental group
• Cobordism span of a manifold and elliptic genera
• Periods of modular forms and Jacobi theta functions
• Spin cobordism determines real K-theory
• Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres
• Spin bordism and elliptic homology
• Clifford modules
• On the Rigidity Theorems of Witten
• Remark on Witten's Modular Forms
• THE INDEX OF ELLIPTIC OPERATORS OVERC*-ALGEBRAS
• Spectral asymmetry and Riemannian geometry. II
• THE CHERN-DOLD CHARACTER IN COBORDISMS. I
• Simply connected manifolds of positive scalar curvature