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Volumn 51, Issue 2, 2000, Pages 145-160

A gerbe obstruction to quantization of fermions on odd-dimensional manifolds with boundary

Author keywords

Dirac boundary value problems; Gerbe; Hamiltonian quantizatin

Indexed keywords


EID: 0007321420     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007676919822     Document Type: Article
Times cited : (12)

References (14)
  • 1
    • 0002519046 scopus 로고
    • Index theory for skew-adjoint Fredholm operators
    • Atiyah, M. F. and Singer, I. M.: Index theory for skew-adjoint Fredholm operators, I.H.E.S. Publ. Math. 37 (1969), 305-326.
    • (1969) I.H.E.S. Publ. Math. , vol.37 , pp. 305-326
    • Atiyah, M.F.1    Singer, I.M.2
  • 2
    • 0040561208 scopus 로고
    • Infinite-dimensional groups and quantum field theory
    • Carey, A. L.: Infinite-dimensional groups and quantum field theory, Acta Appl. Math. 1 (1983), 321-331.
    • (1983) Acta Appl. Math. , vol.1 , pp. 321-331
    • Carey, A.L.1
  • 3
    • 0031065067 scopus 로고    scopus 로고
    • Index theory, gerbes, and Hamiltonian quantization
    • hep-th/9511151
    • Carey, A. L., Mickelsson, J. and Murray, M.: Index theory, gerbes, and Hamiltonian quantization, Comm., Math. Phys. 183, (1997), 707. hep-th/9511151
    • (1997) Comm., Math. Phys. , vol.183 , pp. 707
    • Carey, A.L.1    Mickelsson, J.2    Murray, M.3
  • 4
    • 0034390017 scopus 로고    scopus 로고
    • Bundle gerbes applied to field theory
    • hep-th/9711133
    • Carey, A. L., Mickelsson, J. and Murray, M.: Bundle gerbes applied to field theory hep-th/9711133, Rev. Math. Phys. 12 (2000), 65-90.
    • (2000) Rev. Math. Phys. , vol.12 , pp. 65-90
    • Carey, A.L.1    Mickelsson, J.2    Murray, M.3
  • 5
    • 85046527349 scopus 로고    scopus 로고
    • Gravitational anomalies, gerbes, and Hamiltonian quantization
    • hep-th/9904189
    • Ekstrand, C. and Mickelsson, J.: Gravitational anomalies, gerbes, and Hamiltonian quantization, hep-th/9904189, to be published in Comm. Math. Phys.
    • Comm. Math. Phys.
    • Ekstrand, C.1    Mickelsson, J.2
  • 7
    • 0003358956 scopus 로고
    • K-theory. An introduction
    • Springer, Berlin
    • Karoubi, M.: K-Theory. An Introduction, Grundlehren Math. Wiss. 226, Springer, Berlin, 1978.
    • (1978) Grundlehren Math. Wiss. , vol.226
    • Karoubi, M.1
  • 8
    • 0000618694 scopus 로고    scopus 로고
    • An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary
    • elrose, R. B. and Piazza, P.: An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary, J. Differential Geom. 46, (1997), 287-334.
    • (1997) J. Differential Geom. , vol.46 , pp. 287-334
    • Melrose, R.B.1    Piazza, P.2
  • 10
    • 21844503331 scopus 로고    scopus 로고
    • Determinants of Dirac boundary value problems over odd dimensional manifolds
    • Scott, S. G.: Determinants of Dirac boundary value problems over odd dimensional manifolds. Com. Math. Phys. 173 (1995), 43-76; Splitting the curvature of the determinant line bundle, math.AP/9812124, to appear in Proc. Amer. Math. Soc.
    • (1995) Com. Math. Phys. , vol.173 , pp. 43-76
    • Scott, S.G.1
  • 11
    • 21844503331 scopus 로고    scopus 로고
    • Scott, S. G.: Determinants of Dirac boundary value problems over odd dimensional manifolds. Com. Math. Phys. 173 (1995), 43-76; Splitting the curvature of the determinant line bundle, math.AP/9812124, to appear in Proc. Amer. Math. Soc.
    • Proc. Amer. Math. Soc.
  • 12
    • 24944555508 scopus 로고    scopus 로고
    • Anti-de Sitter space and holography
    • hep-th/9802150
    • Witten, E.: Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998), 253; hep-th/9802150.
    • (1998) Adv. Theor. Math. Phys. , vol.2 , pp. 253
    • Witten, E.1
  • 13
    • 38249030107 scopus 로고
    • Superconnection character forms and the Cayley transform
    • Quillen, D.: Superconnection character forms and the Cayley transform, Topology 27 (1988), 211-238; de la Harpe, P.: Classical Banach-Lie Algebras and Banach Lie Groups of Operators in Hilbert Space. Lecture Notes in Math. 285, Springer, New York, 1972.
    • (1988) Topology , vol.27 , pp. 211-238
    • Quillen, D.1
  • 14
    • 38249030107 scopus 로고
    • Classical Banach-Lie algebras and Banach Lie groups of operators in Hilbert space
    • Springer, New York
    • Quillen, D.: Superconnection character forms and the Cayley transform, Topology 27 (1988), 211-238; de la Harpe, P.: Classical Banach-Lie Algebras and Banach Lie Groups of Operators in Hilbert Space. Lecture Notes in Math. 285, Springer, New York, 1972.
    • (1972) Lecture Notes in Math. , vol.285
    • De La Harpe, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.