메뉴 건너뛰기




Volumn 27, Issue 7-8, 2002, Pages 1407-1435

Adiabatic decomposition of the ζ-determinant of the Dirac laplacian. I. The case of an invertible tangential operator

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036381858     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-120005843     Document Type: Article
Times cited : (17)

References (25)
  • 4
    • 0000451551 scopus 로고    scopus 로고
    • On the η-invariant of certain nonlocal boundary value problems
    • Brüning, J.; Lesch, M. On the η-Invariant of Certain Nonlocal Boundary Value Problems. Duke Math. J. 1999, 96, 425-468.
    • (1999) Duke Math. J. , vol.96 , pp. 425-468
    • Brüning, J.1    Lesch, M.2
  • 5
    • 0002427838 scopus 로고
    • Mayer-vietoris type formula for determinants of elliptic differential operators
    • Burghelea, D.; Friedlander, L.; Kappeler, T. Mayer-Vietoris Type Formula for Determinants of Elliptic Differential Operators. J. Funct. Anal. 1992, 107, 34-65.
    • (1992) J. Funct. Anal. , vol.107 , pp. 34-65
    • Burghelea, D.1    Friedlander, L.2    Kappeler, T.3
  • 6
    • 0030494290 scopus 로고    scopus 로고
    • Self-adjoint elliptic operators and manifold decompositions. I. Low eigenmodes and stretching
    • Cappell, S.E.; Lee, R.; Miller, E.Y. Self-Adjoint Elliptic Operators and Manifold Decompositions. I. Low Eigenmodes and Stretching. Comm. Pure Appl. Math. 1996, 49, 825-866.
    • (1996) Comm. Pure Appl. Math. , vol.49 , pp. 825-866
    • Cappell, S.E.1    Lee, R.2    Miller, E.Y.3
  • 7
    • 0041490890 scopus 로고
    • Adiabatic limits of the η-Invariants. The odd-dimensional atiyah-patodi-singer problem
    • Douglas, R.G.; Wojciechowski, K.P. Adiabatic Limits of the η-Invariants. The Odd-dimensional Atiyah-Patodi-Singer Problem. Comm. Math. Phys. 1991, 142, 139-168.
    • (1991) Comm. Math. Phys. , vol.142 , pp. 139-168
    • Douglas, R.G.1    Wojciechowski, K.P.2
  • 10
    • 0010568139 scopus 로고    scopus 로고
    • Analytic surgery and analytic torsion
    • Hassell, A. Analytic Surgery and Analytic Torsion. Comm. Anal. Geom. 1998, 6, 255-289.
    • (1998) Comm. Anal. Geom. , vol.6 , pp. 255-289
    • Hassell, A.1
  • 11
    • 0030584505 scopus 로고    scopus 로고
    • Adiabatic cobordism theorems for analytic torsion and η-invariant
    • Klimek, S.; Wojciechowski, K.P. Adiabatic Cobordism Theorems for Analytic Torsion and η-Invariant. J. Funct. Anal. 1996, 136, 269-293.
    • (1996) J. Funct. Anal. , vol.136 , pp. 269-293
    • Klimek, S.1    Wojciechowski, K.P.2
  • 14
    • 0010601160 scopus 로고    scopus 로고
    • Dirac operators, heat kernels, and microlocal analysis
    • Mazzeo, R.R.; Piazza, P. Dirac Operators, Heat Kernels, and Microlocal Analysis. Rend. Math. Appl. 1998, 18, 221-288.
    • (1998) Rend. Math. Appl. , vol.18 , pp. 221-288
    • Mazzeo, R.R.1    Piazza, P.2
  • 15
    • 84972537262 scopus 로고
    • Eta invariants and manifolds with boundary
    • Müller, W. Eta Invariants and Manifolds with Boundary. J. Differential Geometry 1994, 40, 311-377.
    • (1994) J. Differential Geometry , vol.40 , pp. 311-377
    • Müller, W.1
  • 16
    • 0000644961 scopus 로고    scopus 로고
    • Relative ζ-determinant and adiabatic decomposition of the ζ-determinant of the dirac laplacian
    • Park, J.; Wojciechowski, K.P. Relative ζ-Determinant and Adiabatic Decomposition of the ζ-Determinant of the Dirac Laplacian. Letters in Math. Phys. 2000, 52, 329-337.
    • (2000) Letters in Math. Phys. , vol.52 , pp. 329-337
    • Park, J.1    Wojciechowski, K.P.2
  • 19
    • 85105637957 scopus 로고    scopus 로고
    • The ζ-determinant and quillen determinant for a dirac operator on a manifold with boundary
    • Scott, S.G.; Wojciechowski, K.P. The ζ-Determinant and Quillen Determinant for a Dirac Operator on a Manifold with Boundary. Geom. Funct. Anal. 1999, 10, 1202-1236.
    • (1999) Geom. Funct. Anal. , vol.10 , pp. 1202-1236
    • Scott, S.G.1    Wojciechowski, K.P.2
  • 20
    • 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
  • 21
    • 0000955580 scopus 로고
    • The η-invariant and the index
    • Yau, S.-T., Ed.; World Scientific Press: Singapore
    • Singer, I.M. The η-Invariant and the Index. In Mathematical Aspects of String Theory, Yau, S.-T., Ed.; World Scientific Press: Singapore, 1988; pp. 239-258.
    • (1988) Mathematical Aspects of String Theory , pp. 239-258
    • Singer, I.M.1
  • 23
    • 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. 1994, 20, 603-621.
    • (1994) Houston J. Math. , vol.20 , pp. 603-621
    • Wojciechowski, K.P.1
  • 24
    • 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. 1995, 169, 315-327.
    • (1995) Comm. Math. Phys. , vol.169 , pp. 315-327
    • Wojciechowski, K.P.1
  • 25
    • 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. 1999, 201, 423-444.
    • (1999) Comm. Math. Phys. , vol.201 , pp. 423-444
    • Wojciechowski, K.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.