On the index of Dirac operators on arithmetic quotients
DOI10.1017/S0004972700031294zbMath0932.11035arXivdg-ga/9512001OpenAlexW2964171248MaRDI QIDQ4380525
Publication date: 12 September 1999
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/dg-ga/9512001
Euler characteristicindex theoremsarithmetic quotientsAtiyah-Singer index theoremelliptic differential operatorEuler operatorArthur-Selberg's trace formulaGauss-Bonnet equalitynoncompact arithmetic manifolds
Index theory and related fixed-point theorems on manifolds (58J20) Discrete subgroups of Lie groups (22E40) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
Cites Work
- \(L^ 2\)-index and the Selberg trace formula
- \(L^ 2\)-index theorems on locally symmetric spaces
- The \(L^2\)-index theorem for homogeneous spaces of Lie groups
- Highly cuspidal pseudocoefficients and \(K\)-theory
- Harmonic analysis on real reductive groups. I: The theory of the constant term
- \(L^2\)-cohomology and the discrete series
- A geometric construction of the discrete series for semisimple Lie groups
- Lefschetz formulae for arithmetic varieties
- Higher torsion zeta functions
- Discrete series for semisimple Lie groups. II: Explicit determination of the characters
- The Invariant Trace Formula. II. Global Theory
- Fourier Inversion for Unipotent Invariant Integrals
This page was built for publication: On the index of Dirac operators on arithmetic quotients
