Modular invariance and characteristic numbers

DOI10.1007/BF02099462zbMath0867.57021arXivhep-th/9404053OpenAlexW1994559900MaRDI QIDQ1903331

Ke Feng Liu

Publication date: 20 July 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9404053

zbMATH Keywords

modular formscharacteristic numberselliptic genusspin manifoldsJacobi theta-functions\(\widehat A\)-genuscobordism ring

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Elliptic genera (58J26) Relations with algebraic geometry and topology (11F23)

Related Items (24)

Anomaly cancellation and modularity. II: The \(E_{8} \times E_{8}\) case ⋮ A note on generalized twisted anomaly cancellation formulas ⋮ A note on modular forms and generalized anomaly cancellation formulas ⋮ Topological modular forms and the absence of all heterotic global anomalies ⋮ Modular forms and generalized anomaly cancellation formulas ⋮ New Bochner type theorems ⋮ A general type of twisted anomaly cancellation formulas ⋮ Modular invariance and anomaly cancellation formulas in odd dimension ⋮ Spin\(^{c}\)-manifolds and elliptic genera ⋮ Modular invariance and anomaly cancellation formulas ⋮ Multipliers on real Hardy spaces ⋮ Transgression and twisted anomaly cancellation formulas on odd dimensional manifolds ⋮ Modular invariance and anomaly cancellation formulas in odd dimension. II ⋮ Even dimensional manifolds and generalized anomaly cancellation formulas ⋮ Dependence on the spin structure of the eta and Rokhlin invariants ⋮ Modular invariance and twisted cancellations of characteristic numbers ⋮ On characteristic numbers of 24 dimensional string manifolds ⋮ Cubic forms, anomaly cancellation and modularity ⋮ On family rigidity theorems. I ⋮ Witten genus and elliptic genera for proper actions ⋮ Mod 3 congruence and twisted signature of 24 dimensional string manifolds ⋮ Projective elliptic genera and elliptic pseudodifferential genera ⋮ String^{𝑐} structures and modular invariants ⋮ Anomaly inflow and \(p\)-form gauge theories

Cites Work

• Elliptic genera and quantum field theory
• Representations of loop groups, Dirac operators on loop space, and modular forms
• Some invariants of spin manifolds
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• On mod 2 and higher elliptic genera
• Elliptic curves and modular forms in algebraic topology. Proceedings of a conference held at the Institute for Advanced Study, Princeton, NJ, Sept. 15-17, 1986
• Circle bundles, adiabatic limits of \(\eta\)-invariants and Rokhlin congruences
• \(S^ 1\)-actions and elliptic genera
• On the Rigidity Theorems of Witten
• Spectral asymmetry and Riemannian Geometry. I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Modular invariance and characteristic numbers