메뉴 건너뛰기




Volumn 127, Issue 4, 1999, Pages 541-621

Analytic torsion forms and families of submersions;Formes de torsion analytique et familles de submersions I

Author keywords

[No Author keywords available]

Indexed keywords


EID: 1842686774     PISSN: 00379484     EISSN: None     Source Type: Journal    
DOI: 10.24033/bsmf.2360     Document Type: Article
Times cited : (26)

References (32)
  • 1
    • 0000243409 scopus 로고
    • On the heat equation and the Index Theorem
    • ATIYAH (M.F.), BOTT (R.), PATODI, (V.K.). - On the heat equation and the Index Theorem, Invent. Math., t. 19, 1973, p. 279-330.
    • (1973) Invent. Math. , vol.19 , pp. 279-330
    • Atiyah, M.F.1    Bott, R.2    Patodi, V.K.3
  • 2
    • 51249190053 scopus 로고
    • Riemann-Roch for singular varietes
    • BAUM (P.), FULTON (W.), MACPHERSON (R.). - Riemann-Roch for singular varietes, Publ. Math. IHES, t. 45, 1975, p. 101-146.
    • (1975) Publ. Math. IHES , vol.45 , pp. 101-146
    • Baum, P.1    Fulton, W.2    Macpherson, R.3
  • 3
    • 0003782827 scopus 로고
    • Heat kernels and the Dirac operator
    • Springer, Berlin-Heidelberg-New York
    • BERLINE (N.), GETZLER (E.), VERGNE (M.). - Heat kernels and the Dirac operator. - Grundl. Math. Wiss., 298, Springer, Berlin-Heidelberg-New York, 1992.
    • (1992) Grundl. Math. Wiss. , vol.298
    • Berline, N.1    Getzler, E.2    Vergne, M.3
  • 4
    • 0001962368 scopus 로고
    • Quillen metric and higher analytic torsion forms
    • BERTHOMIEU (A.), BISMUT (J.-M.). - Quillen metric and higher analytic torsion forms, J. Reine angew. Math., t. 457, 1994, p. 85-184.
    • (1994) J. Reine Angew. Math. , vol.457 , pp. 85-184
    • Berthomieu, A.1    Bismut, J.-M.2
  • 5
    • 0002043629 scopus 로고
    • The Index Theorem for families of Dirac operators : Two heat equation proofs
    • BISMUT (J.-M.). - The Index Theorem for families of Dirac operators : two heat equation proofs, Invent.Math., t. 83, 1986, p. 91-151.
    • (1986) Invent.Math. , vol.83 , pp. 91-151
    • Bismut, J.-M.1
  • 6
    • 84968511146 scopus 로고
    • Koszul complexes, harmonic oscillators and the Todd class
    • BISMUT (J.-M.). - Koszul complexes, harmonic oscillators and the Todd class, J. Amer. Math. Soc., t. 3, 1990, p. 159-256.
    • (1990) J. Amer. Math. Soc. , vol.3 , pp. 159-256
    • Bismut, J.-M.1
  • 7
    • 0012097734 scopus 로고    scopus 로고
    • Families of immersions, and higher analytic torsion
    • BISMUT (J.-M.). - Families of immersions, and higher analytic torsion, Astérisque, 244, 1997.
    • (1997) Astérisque , vol.244
    • Bismut, J.-M.1
  • 8
    • 0009312038 scopus 로고
    • Familles d'immersions et formes de torsion analytique en degré supérieur
    • série I
    • BISMUT (J.-M.). - Familles d'immersions et formes de torsion analytique en degré supérieur, C.R.A.S. Paris, t. 320, série I, 1995, p. 969-974.
    • (1995) C.R.A.S. Paris , vol.320 , pp. 969-974
    • Bismut, J.-M.1
  • 9
    • 84968468365 scopus 로고
    • η-invariants and their adiabatic limits
    • BISMUT (J.-M.), CHEEGER (J.). - η-invariants and their adiabatic limits, J. Amer. Math. Soc., t. 2, 1989, p. 33-70.
    • (1989) J. Amer. Math. Soc. , vol.2 , pp. 33-70
    • Bismut, J.-M.1    Cheeger, J.2
  • 10
    • 34250085806 scopus 로고
    • Analytic torsion and holomorphic determinant bundles I
    • BISMUT (J.-M.), GILLET (H.), SOULÉ (C.). - Analytic torsion and holomorphic determinant bundles I, Comm. Math. Phys., t. 115, 1988, p. 49-78.
    • (1988) Comm. Math. Phys. , vol.115 , pp. 49-78
    • Bismut, J.-M.1    Gillet, H.2    Soulé, C.3
  • 11
    • 0002293378 scopus 로고
    • Analytic torsion and holomorphic determinant bundles II
    • BISMUT (J.-M.), GILLET (H.), SOULÉ (C.). - Analytic torsion and holomorphic determinant bundles II, Comm. Math. Phys., t. 115, 1988, p. 79-126.
    • (1988) Comm. Math. Phys. , vol.115 , pp. 79-126
    • Bismut, J.-M.1    Gillet, H.2    Soulé, C.3
  • 12
    • 0002293376 scopus 로고
    • Analytic torsion and holomorphic determinant bundles III
    • BISMUT (J.-M.), GILLET (H.), SOULÉ (C.). - Analytic torsion and holomorphic determinant bundles III, Comm. Math. Phys., t. 115, 1988, p. 301-351.
    • (1988) Comm. Math. Phys. , vol.115 , pp. 301-351
    • Bismut, J.-M.1    Gillet, H.2    Soulé, C.3
  • 13
    • 0001650048 scopus 로고
    • Higher analytic torsion forms for direct images and anomaly formulas
    • BISMUT (J.-M.), KÖHLER (K.). - Higher analytic torsion forms for direct images and anomaly formulas, J. Alg. Geom., t. 1, 1992, p. 647-684.
    • (1992) J. Alg. Geom. , vol.1 , pp. 647-684
    • Bismut, J.-M.1    Köhler, K.2
  • 14
    • 51249175621 scopus 로고
    • Complex immersions and Quillen metrics
    • BISMUT (J.-M.), LEBEAU (G.). - Complex immersions and Quillen metrics, Publ. Math. IHES, 74, 1991, p. 1-297.
    • (1991) Publ. Math. IHES , vol.74 , pp. 1-297
    • Bismut, J.-M.1    Lebeau, G.2
  • 15
  • 18
    • 84968510067 scopus 로고
    • Adiabatic limits, non multiplicativity of signature and Leray spectal sequence
    • DAI (X.). - Adiabatic limits, non multiplicativity of signature and Leray spectal sequence, J. Amer. Math. Soc., t. 4, 1991, p. 265-321.
    • (1991) J. Amer. Math. Soc. , vol.4 , pp. 265-321
    • Dai, X.1
  • 19
    • 0009311503 scopus 로고
    • Lectures on the arithmetic Riemann-Roch Theorem
    • Princeton University Press
    • FALTINGS (G.). - Lectures on the arithmetic Riemann-Roch Theorem, Ann. Math. Studies, Princeton University Press, 1992.
    • (1992) Ann. Math. Studies
    • Faltings, G.1
  • 20
    • 0002846281 scopus 로고
    • A short proof of the Atiyah-Singer Index Theorem
    • GETZLER (E.). - A short proof of the Atiyah-Singer Index Theorem, Topology, t. 25, 1986, p. 111-117.
    • (1986) Topology , vol.25 , pp. 111-117
    • Getzler, E.1
  • 22
    • 84972570012 scopus 로고
    • Sur quelques points d'algèbre homologique
    • GROTHENDIECK (A.). - Sur quelques points d'algèbre homologique, Tôhoku Math. J., t. 9, 1957, p. 119-221.
    • (1957) Tôhoku Math. J. , vol.9 , pp. 119-221
    • Grothendieck, A.1
  • 23
    • 0002303438 scopus 로고
    • Analytic torsion and the arithmetic Todd genus
    • GILLET (H.), SOULÉ (C.). - Analytic torsion and the arithmetic Todd genus, Topology, t. 30, 1991, p. 21-54.
    • (1991) Topology , vol.30 , pp. 21-54
    • Gillet, H.1    Soulé, C.2
  • 24
    • 0000866229 scopus 로고
    • An arithmetic Riemann-Roch Theorem
    • GILLET (H.), SOULÉ (C.). - An arithmetic Riemann-Roch Theorem, Invent.Math., t. 110, 1992, p. 473-543.
    • (1992) Invent.Math. , vol.110 , pp. 473-543
    • Gillet, H.1    Soulé, C.2
  • 25
    • 0002885594 scopus 로고
    • The projectivity of the moduli space of stable curves I, Preliminaires on "det" and "div"
    • KNUDSEN (P.F.), MUMFORD (D.). - The projectivity of the moduli space of stable curves I, Preliminaires on "det" and "div", Math. Scand., t. 39, 1976, p. 19-55.
    • (1976) Math. Scand. , vol.39 , pp. 19-55
    • Knudsen, P.F.1    Mumford, D.2
  • 26
    • 0030636720 scopus 로고    scopus 로고
    • Formes de torsion analytique et familles de submersions
    • série I
    • MA (Xiaonan). - Formes de torsion analytique et familles de submersions, C. R. Acad. Sciences Paris, t. 324, série I, 1997, p. 205-210.
    • (1997) C. R. Acad. Sciences Paris , vol.324 , pp. 205-210
    • Ma, X.1
  • 28
    • 84972530647 scopus 로고
    • Curvature and the eigenvalues of the Laplacian
    • MCKEAN (H.), SINGER (I.M.). - Curvature and the eigenvalues of the Laplacian, J. Diff. Geom., t. 1, 1967, p. 43-69.
    • (1967) J. Diff. Geom. , vol.1 , pp. 43-69
    • Mckean, H.1    Singer, I.M.2
  • 29
    • 0000790004 scopus 로고
    • Higher K-theories I
    • Springer, Berlin
    • QUILLEN (D.). - Higher K-theories I., Springer Lecture Notes in Math., 341, Springer, Berlin, 1973, p. 85-147.
    • (1973) Springer Lecture Notes in Math. , vol.341 , pp. 85-147
    • Quillen, D.1
  • 30
    • 0040185353 scopus 로고
    • Superconnections and the Chern character
    • QUILLEN (D.). - Superconnections and the Chern character, Topology, t. 24, 1986, p. 89-95.
    • (1986) Topology , vol.24 , pp. 89-95
    • Quillen, D.1
  • 31
    • 0000815498 scopus 로고
    • Analytic torsion for complex manifolds
    • RAY (D.B.), SINGER (I.M.). - Analytic torsion for complex manifolds, Ann. of Math., t. 98, 1973, p. 154-177.
    • (1973) Ann. of Math. , vol.98 , pp. 154-177
    • Ray, D.B.1    Singer, I.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.