The ζ-Determinant and script C sign-Determinant on the Grassmannian in Dimension One

Letters in Mathematical Physics

Volumn 45, Issue 4, 1998, Pages 353-362

  Booss Bavnbek, B ^a   Scott, S G ^b   Wojciechowski, K P ^c  

^a ROSKILDE UNIVERSITY   (Denmark)

^b SISSA   (Italy)

^c INDIANA UNIVERSITY   (United States)

Author keywords

Atiyah Patodi Singer condition; Calder n projection; Canonical determinant; Dirac operator; Grassmannian of boundary conditions; Quillen determinant; determinant

Indexed keywords

EID: 0000080017     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007456629831     Document Type: Article

References (12)

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3. Douglas, R. G. and Wojciechowski, K. P.: Adiabatic limits of the η-invariants. The odd-dimensional Atiyah-Patodi-Singer problem, Comm. Math. Phys. 142 (1991), 139-168.
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10. Scott, S. G. and Wojciechowski, K. P.: ζ-determinant and the Quillen determinant on the Grassmannian of elliptic self-adjoint boundary conditions, Trieste, SISSA preprint 77/98/FM, 1998.
11. Singer, I. M.: Families of Dirac operators with applications to physics, Asterisque, hors série (1985), pp. 323-340.
12. Wojciechowski, K. P.: ζ-determinant and the additivity of the η-invariant on the smooth, self-adjoint Grassmannian, Preprint, 1997.