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Volumn 526, Issue , 2000, Pages 181-236

Equivariant η-invariants and η-forms

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EID: 0039372632     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.2000.073     Document Type: Article
Times cited : (29)

References (25)
  • 4
    • 0000238246 scopus 로고
    • The index of elliptic operators IV
    • M. F. Atiyah, I. M. Singer, The index of elliptic operators IV, Ann. Math. 92 (1970), 119-138.
    • (1970) Ann. Math. , vol.92 , pp. 119-138
    • Atiyah, M.F.1    Singer, I.M.2
  • 7
    • 0009367641 scopus 로고
    • The infinitesimal Lefschetz formulas: A heat equation proof
    • J.-M. Bismut, The Infinitesimal Lefschetz Formulas: A Heat Equation Proof, J. Funct. Anal. 62 (1985), 435-457.
    • (1985) J. Funct. Anal. , vol.62 , pp. 435-457
    • Bismut, J.-M.1
  • 8
    • 0002043629 scopus 로고
    • The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
    • J.-M. Bismut, The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs, Invent. Math. 83 (1986), 91-151.
    • (1986) Invent. Math. , vol.83 , pp. 91-151
    • Bismut, J.-M.1
  • 9
    • 84968468365 scopus 로고
    • η-invariants and their adiabatic limits
    • J.-M. Bismut, J. Cheeger, η-invariants and their adiabatic limits, J. Am. Math. Soc. 2 (1989), 33-70.
    • (1989) J. Am. Math. Soc. , vol.2 , pp. 33-70
    • Bismut, J.-M.1    Cheeger, J.2
  • 10
    • 45149139210 scopus 로고
    • Families index for manifolds with boundary, superconnections, and cones. I. Families of manifolds with boundary and Dirac operators
    • J.-M. Bismut, J. Cheeger, Families Index for Manifolds with Boundary, Superconnections, and Cones. I. Families of Manifolds with Boundary and Dirac Operators, J. Funct. Anal. 89 (1990), 313-363.
    • (1990) J. Funct. Anal. , vol.89 , pp. 313-363
    • Bismut, J.-M.1    Cheeger, J.2
  • 11
    • 0000422320 scopus 로고
    • Families index for manifolds with boundary, superconnections, and cones. II. The chern character
    • J.-M. Bismut, J. Cheeger, Families Index for Manifolds with Boundary, Superconnections, and Cones. II. The Chern Character, J. Funct. Anal. 90 (1990), 306-354.
    • (1990) J. Funct. Anal. , vol.90 , pp. 306-354
    • Bismut, J.-M.1    Cheeger, J.2
  • 12
    • 0013555841 scopus 로고
    • Remarks on the index theorem for families of Dirac operators on manifolds with boundary
    • Differential geometry. A symposium in honour of Manfredo do Carmo, Proc. Int. Conf., Rio de Janeiro/Bras. 1988
    • J.-M. Bismut, J. Cheeger, Remarks on the index theorem for families of Dirac operators on manifolds with boundary, in: Differential geometry. A symposium in honour of Manfredo do Carmo, Proc. Int. Conf., Rio de Janeiro/Bras. 1988, Pitman Monogr. Surv. Pure Appl. Math. 52 (1991), 59-83.
    • (1991) Pitman Monogr. Surv. Pure Appl. Math. , vol.52 , pp. 59-83
    • Bismut, J.-M.1    Cheeger, J.2
  • 13
    • 0033177352 scopus 로고    scopus 로고
    • Torsions analytiques équivariantes holomorphes
    • J.-M. Bismut, S. Goette, Torsions analytiques équivariantes holomorphes, C. R. Acad. Sci. Paris 329 (I) (1999), 203-210.
    • (1999) C. R. Acad. Sci. Paris , vol.329 , Issue.1 , pp. 203-210
    • Bismut, J.-M.1    Goette, S.2
  • 14
    • 0007010060 scopus 로고    scopus 로고
    • Holomorphic equivariant analytic torsions
    • preprint, to appear
    • J.-M. Bismut, S. Goette, Holomorphic equivariant analytic torsions, preprint 1999, Geom. Funct. Anal., to appear.
    • (1999) Geom. Funct. Anal.
    • Bismut, J.-M.1    Goette, S.2
  • 15
    • 84968510067 scopus 로고
    • Adiabatic limits, nonmultiplicativity of signature, and Leray spectral sequence
    • X. Dai, Adiabatic limits, nonmultiplicativity of signature, and Leray spectral sequence, J. Am. Math. Soc. 4 (1991), 265-321.
    • (1991) J. Am. Math. Soc. , vol.4 , pp. 265-321
    • Dai, X.1
  • 16
    • 0040497339 scopus 로고
    • The e-invariant and the spectrum of the Laplacian for compact nilmanitolds covered by Heisenberg groups
    • Ch. Deninger, W. Singhof, The e-invariant and the spectrum of the Laplacian for compact nilmanitolds covered by Heisenberg groups, Invent. math. 78 (1984), 101-112.
    • (1984) Invent. Math. , vol.78 , pp. 101-112
    • Deninger, C.1    Singhof, W.2
  • 17
    • 0000934172 scopus 로고
    • Eta Invariants for G-Spaces
    • H. Donnelly, Eta Invariants for G-Spaces, Indiana Univ. Math. J. 27 (1978), 889-918.
    • (1978) Indiana Univ. Math. J. , vol.27 , pp. 889-918
    • Donnelly, H.1
  • 19
    • 0033425853 scopus 로고    scopus 로고
    • Equivariant η-invariants on homogeneous spaces
    • S. Goette, Equivariant η-Invariants on Homogeneous Spaces, Math. Z. 232 (1999), 1-42.
    • (1999) Math. Z. , vol.232 , pp. 1-42
    • Goette, S.1
  • 20
    • 4644347237 scopus 로고    scopus 로고
    • Gravitational instanton contribution to Spin 3/2 axial anomaly
    • A. J. Hanson, H. Römer, Gravitational instanton contribution to Spin 3/2 axial anomaly, Phys. Lett. 80B
    • Phys. Lett. , vol.80 B
    • Hanson, A.J.1    Römer, H.2
  • 21
    • 84968518962 scopus 로고
    • A sufficient condition that a mapping of Riemannian manifolds be a fibre bundle
    • R. Hermann, A sufficient condition that a mapping of Riemannian manifolds be a fibre bundle, Proc. Am. Math Soc. 11 (1960), 236-242.
    • (1960) Proc. Am. Math Soc. , vol.11 , pp. 236-242
    • Hermann, R.1
  • 22
    • 0002201305 scopus 로고
    • Cohomology rings of symplectic quotients
    • J. Kalkman, Cohomology rings of symplectic quotients, J. reine angew. Math. 458 (1995), 37-52.
    • (1995) J. Reine Angew. Math. , vol.458 , pp. 37-52
    • Kalkman, J.1
  • 23
    • 0041048939 scopus 로고    scopus 로고
    • Multiplicities formula for geometric quantization. I
    • M. Vergne, Multiplicities formula for geometric quantization. I, Duke Math. J. 82 (1996), No. 1, 143-179.
    • (1996) Duke Math. J. , vol.82 , Issue.1 , pp. 143-179
    • Vergne, M.1
  • 24
    • 84966252090 scopus 로고
    • A note on equivariant η-invariants
    • W. Zhang, A note on equivariant η-invariants, Proc. Am. Math. Soc. 108 (1990), 1121-1129.
    • (1990) Proc. Am. Math. Soc. , vol.108 , pp. 1121-1129
    • Zhang, W.1
  • 25
    • 0009965588 scopus 로고
    • Circle bundles, adiabatic limits of η-invariants, and Rokhlin congruences
    • W. Zhang, Circle bundles, adiabatic limits of η-invariants, and Rokhlin congruences, Ann. Inst. Fourier 44 (1994), 249-270.
    • (1994) Ann. Inst. Fourier , vol.44 , pp. 249-270
    • Zhang, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.