Poles of zeta and eta functions for perturbations of the Atiyah-Patodi-Singer problem

Communications in Mathematical Physics

Volumn 215, Issue 3, 2001, Pages 583-589

  Grubb, G ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035218965     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005544     Document Type: Article

References (8)

1. [APS75] Atiyah, M.F., Patodi, V.K. and Singer, I.M.: Spectral asymmetry and Riemannian geometry, I. Math. Proc. Camb. Phil. Soc. 77, 43-69 (1975)
2. [DW91] Douglas, R.G. and Wojciechowski, K.P.: Adiabatic limits of the η-invariants, the odd dimensional Atiyah-Patodi-Singer problem. Commun. Math. Phys. 142, 139-168 (1991)
3. [GG98] Gilkey, P.B. and Grubb, G.: Logarithmic terms in asymptotic expansions of heat operator traces. Comm. Part. Diff. Eq. 23, 777-792 (1998)
4. [G92] Grubb, G.: Heat operator trace expansions and index for general Atiyah-Patodi-Singer problems. Comm. P. D. E. 17, 2031-2077 (1992)
5. [G99] Grubb, G.: Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems. Arkiv f. Mat. 37, 45-86 (1999)
6. [GS95] Grubb, G. and Seeley, R.: Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems. Invent. Math.121, 481-529 (1995)
7. [GS96] Grubb, G. and Seeley, R.: Zeta and eta functions for Atiyah-Patodi-Singer operators. J. Geom. An. 6, 31-77 (1996)
8. [W99] Wojciechowski, K.: The ζ-determinant and the additivity of the η-invariant on the smooth, self-adjoint Grassmannian. Commun. Math. Phys. 201, 423-444 (1999)