메뉴 건너뛰기




Volumn 52, Issue 4, 2000, Pages 329-337

Relative ζ-Determinant and adiabatic decomposition of the ζ-Determinant of the dirac laplacian

Author keywords

Adiabatic decomposition of the determinant; Dirac operator; Relative determinant; Self adjoint elliptic boundary problem; determinant; function

Indexed keywords


EID: 0000644961     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007645913411     Document Type: Article
Times cited : (5)

References (21)
  • 4
    • 0000451551 scopus 로고    scopus 로고
    • On the η-invariant of certain nonlocal boundary value problems
    • Brünning, J. and Lesch, M.: On the η-invariant of certain nonlocal boundary value problems, Duke Math. J. 96 (1999), 425-168.
    • (1999) Duke Math. J. , vol.96 , pp. 425-1168
    • Brünning, J.1    Lesch, M.2
  • 5
    • 0041490890 scopus 로고
    • Adiabatic limits of the η-invariants. The odd-dimensional Atiyah-Patodi-Singer problem
    • 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.
    • (1991) Comm. Math. Phys. , vol.142 , pp. 139-168
    • Douglas, R.G.1    Wojciechowski, K.P.2
  • 7
    • 0002085730 scopus 로고    scopus 로고
    • Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems
    • Grubb, G.: Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems, Ark. Mat. 37 (1999), 45-86.
    • (1999) Ark. Mat. , vol.37 , pp. 45-86
    • Grubb, G.1
  • 8
    • 0030584505 scopus 로고    scopus 로고
    • Adiabatic cobordism theorems for analytic torsion and η-invariant
    • Klimek, S. and Wojciechowski, K. P.: Adiabatic cobordism theorems for analytic torsion and η-invariant, J. Funct. Anal. 136 (1996), 269-293.
    • (1996) J. Funct. Anal. , vol.136 , pp. 269-293
    • Klimek, S.1    Wojciechowski, K.P.2
  • 10
    • 0030543540 scopus 로고    scopus 로고
    • Determinant bundles, manifolds with boundary and surgery, I
    • Piazza, P.: Determinant bundles, manifolds with boundary and surgery, I, Comm. Math. Phys. 178 (1996), 597-626.
    • (1996) Comm. Math. Phys. , vol.178 , pp. 597-626
    • Piazza, P.1
  • 11
    • 0000706352 scopus 로고    scopus 로고
    • Determinant bundles, manifolds with boundary and surgery, II
    • Piazza, P.: Determinant bundles, manifolds with boundary and surgery, II, Comm. Math. Phys. 193 (1998), 105-124.
    • (1998) Comm. Math. Phys. , vol.193 , pp. 105-124
    • Piazza, P.1
  • 12
    • 21544442687 scopus 로고    scopus 로고
    • Splitting the curvature of determinant line bundle
    • Scott, S. G.: Splitting the curvature of determinant line bundle, to appear in Proc. Amer. Math. Soc.
    • Proc. Amer. Math. Soc.
    • Scott, S.G.1
  • 13
    • 0032615241 scopus 로고    scopus 로고
    • ζ-Determinant and the Quillen determinant on the Grassmannian of elliptic self-adjoint boundary conditions
    • Scott, S. G. and Wojciechowski, K. P.: ζ-determinant and the Quillen determinant on the Grassmannian of elliptic self-adjoint boundary conditions, C.R. Acad. Sci. Paris Sér. I Math., 328 (1999), 139-144.
    • (1999) C.R. Acad. Sci. Paris Sér. I Math. , vol.328 , pp. 139-144
    • Scott, S.G.1    Wojciechowski, K.P.2
  • 14
    • 17444423842 scopus 로고    scopus 로고
    • The ζ-determinant and Quillen determinant for a Dirac operator on a manifold with boundary
    • Scott, S. G. and Wojciechowski, K. P.: The ζ-determinant and Quillen determinant for a Dirac operator on a manifold with boundary, Geom. Funct. Anal., 1999, to appear.
    • (1999) Geom. Funct. Anal.
    • Scott, S.G.1    Wojciechowski, K.P.2
  • 17
    • 0000400276 scopus 로고
    • Families of Dirac operators with applications to physics
    • Singer, I. M.: Families of Dirac operators with applications to physics, Asterisque, hors série, (1985), 323-340.
    • (1985) Asterisque, Hors Série , pp. 323-340
    • Singer, I.M.1
  • 18
    • 0000955580 scopus 로고
    • The η-invariant and the index
    • S.-T. Yau (ed.), World Scientific, Singapore
    • Singer, I. M.: The η-invariant and the index, In: S.-T. Yau (ed.), Mathematical Aspects of String Theory, World Scientific, Singapore, 1988, pp. 239-258.
    • (1988) Mathematical Aspects of String Theory , pp. 239-258
    • Singer, I.M.1
  • 19
    • 0000539477 scopus 로고
    • The additivity of the η-invariant: The case of an invertible tangential operator
    • Wojciechowski, K. P.: The additivity of the η-invariant: The case of an invertible tangential operator, Houston J. Math. 20 (1994), 603-621.
    • (1994) Houston J. Math. , vol.20 , pp. 603-621
    • Wojciechowski, K.P.1
  • 20
    • 21844499474 scopus 로고
    • The additivity of the η-invariant. The case of a singular tangential operator
    • Wojciechowski, K. P.: The additivity of the η-invariant. The case of a singular tangential operator, Comm. Math. Phys. 169 (1995), 315-327.
    • (1995) Comm. Math. Phys. , vol.169 , pp. 315-327
    • Wojciechowski, K.P.1
  • 21
    • 0033246639 scopus 로고    scopus 로고
    • The ζ-determinant and the additivity of the η-invariant on the smooth, self-adjoint Grassmannian
    • Wojciechowski, K. P.: The ζ-determinant and the additivity of the η-invariant on the smooth, self-adjoint Grassmannian, Comm. Math. Phys. 201 (1999), 423-444.
    • (1999) Comm. Math. Phys. , vol.201 , pp. 423-444
    • Wojciechowski, K.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.