Refine
Has Fulltext
- no (9)
Document Type
- Article (9) (remove)
Language
- English (9)
Is part of the Bibliography
- yes (9)
Keywords
- Algebraic Birkhoff factorisation (1)
- Cartan's development (1)
- Conical zeta values (1)
- Convex cones (1)
- Decorated cones (1)
- Dirac operators (1)
- Fractions with linear poles (1)
- Hopf algebra (1)
- Lattice cones (1)
- Locality (1)
Institute
The canonical trace and the Wodzicki residue on classical pseudo-differential operators on a closed manifold are characterised by their locality and shown to be preserved under lifting to the universal covering as a result of their local feature. As a consequence, we lift a class of spectral zeta-invariants using lifted defect formulae which express discrepancies of zeta-regularised traces in terms of Wodzicki residues. We derive Atiyah's L-2-index theorem as an instance of the Z(2)-graded generalisation of the canonical lift of spectral zeta-invariants and we show that certain lifted spectral zeta-invariants for geometric operators are integrals of Pontryagin and Chern forms.