ζ-determinant and the quillen determinant on the grassmannian of elliptic self-adjoint boundary conditions

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 328, Issue 2, 1999, Pages 139-144

  Scott, Simon ^a   Wojciechowski, Krzysztof ^b  

^a KING'S COLLEGE LONDON   (United Kingdom)

^b INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032615241     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(99)80152-9     Document Type: Article

References (10)

1. [1] Booß-Bavnbek B., Wojciechowski K.P., Desuspension of splitting elliptic symbols, I/II, Ann. Global Anal. Geom. 3/4 (1985/1986) 337-383/349-400.
2. [2] Booß-Bavnbek B., Wojciechowski K.P., Elliptic Boundary Problems for Dirac Operators, Birkhäuser, Boston, 1993.
3. [3] Booß-Bavnbek B., Scott S.G., Wojciechowski K.P., The ζ-determinant and C-determinant on the Grassmannian in dimension one, Lett. Math. Phys. 45 (1998) 353-362.
4. [4] Douglas R.G., Wojciechowski K.P., Adiabatic limits of the η-invariants. The odd-dimensional Atiyah - Patodi - Singer problem, Commun. Math. Phys. 142 (1991) 139-168.
5. [5] Forman R., Functional determinants and geometry, Invent. Math. 88 (1987) 447-493.
6. [6] Nicolaescu L., Generalized Symplectic Geometries and the Index of Families of Elliptic Problems, Mem. Amer. Math. Soc. 609, Providence, 1997.
7. [7] Scott S.G., Determinants of Dirac boundary value problems over odd-dimensional manifolds, Commun. Math. Phys. 173 (1995) 43-76.
8. [8] Scott S.G., Wojciechowski K.P., Abstract Determinant and ζ-Determinant on the Grassmannian, Lett. Math. Phys. 40 (1997) 135-145.
9. [9] Scott S.G., Wojciechowski K.P., The ζ-determinant and Quillen's determinant for the Dirac operator on a manifold with boundary, (in preparation).
10. [10] Wojciechowski K.P., The ζ-determinant and the additivity of the η-invariant on the smooth, self-adjoint Grassmannian, Commun. Math. Phys. (1997) (to appear).