메뉴 건너뛰기




Volumn 157, Issue 2, 1998, Pages 432-469

Higher Spectral Flow

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000417616     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1998.3273     Document Type: Article
Times cited : (52)

References (28)
  • 1
    • 0002351602 scopus 로고
    • Vector bundles and homogeneous spaces
    • Providence: Amer. Math. Soc. p. 7-38
    • Atiyah M. F., Hirzebruch F. Vector bundles and homogeneous spaces. Proc. Sympos. Pure Math. 3:1961;Amer. Math. Soc. Providence. p. 7-38.
    • (1961) Proc. Sympos. Pure Math. , vol.3
    • Atiyah, M.F.1    Hirzebruch, F.2
  • 4
    • 0000238246 scopus 로고
    • The index of elliptic operators, IV
    • Atiyah M. F., Singer I. M. The index of elliptic operators, IV. Ann. of Math. 93:1971;119-138.
    • (1971) Ann. of Math. , vol.93 , pp. 119-138
    • Atiyah, M.F.1    Singer, I.M.2
  • 8
    • 0002043629 scopus 로고
    • The Atiyah-Singer index theorem for a family of Dirac operators: Two heat equation proofs
    • Bismut J.-M. The Atiyah-Singer index theorem for a family 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
  • 10
    • 45149139210 scopus 로고
    • Families index theorem for manifolds with boundary, I
    • Bismut J.-M., Cheeger J. Families index theorem for manifolds with boundary, I. J. Funct. Anal. 89:1990;313-363.
    • (1990) J. Funct. Anal. , vol.89 , pp. 313-363
    • Bismut, J.-M.1    Cheeger, J.2
  • 11
    • 0013555841 scopus 로고
    • Remarks on the index theorem for families of Dirac operators on manifolds with boundary
    • Harlow/New York: Longman. p. 59-84
    • Bismut J.-M., Cheeger J. Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Differential Geometry. 1992;Longman, Harlow/New York. p. 59-84.
    • (1992) Differential Geometry
    • Bismut, J.-M.1    Cheeger, J.2
  • 12
    • 33744647630 scopus 로고
    • The analysis of elliptic families, II
    • Bismut J.-M., Freed D. S. The analysis of elliptic families, II. Comm. Math. Phys. 107:1986;103-163.
    • (1986) Comm. Math. Phys. , vol.107 , pp. 103-163
    • Bismut, J.-M.1    Freed, D.S.2
  • 14
    • 0031190545 scopus 로고    scopus 로고
    • Induced cyclic cocycles and higher eta invariants
    • Douglas R. G., Kaminker J. Induced cyclic cocycles and higher eta invariants. J. Funct. Anal. 147:1997;301-326.
    • (1997) J. Funct. Anal. , vol.147 , pp. 301-326
    • Douglas, R.G.1    Kaminker, J.2
  • 15
    • 0011498082 scopus 로고
    • The Atiyah-Patodi-Singer index theorem: A proof using embeddings
    • Dai X., Zhang W. The Atiyah-Patodi-Singer index theorem: A proof using embeddings. C.R. Acad. Sci. Paris, Ser. I. 319:1994;1293-1297.
    • (1994) C.R. Acad. Sci. Paris, Ser. I , vol.319 , pp. 1293-1297
    • Dai, X.1    Zhang, W.2
  • 16
    • 0030568046 scopus 로고    scopus 로고
    • Splitting of the family index
    • Dai X., Zhang W. Splitting of the family index. Comm. Math. Phys. 182:1996;303-318.
    • (1996) Comm. Math. Phys. , vol.182 , pp. 303-318
    • Dai, X.1    Zhang, W.2
  • 17
    • 0030306043 scopus 로고    scopus 로고
    • Higher spectral flow
    • Dai X., Zhang W. Higher spectral flow. Math. Res. Lett. 3:1996;93-102.
    • (1996) Math. Res. Lett. , vol.3 , pp. 93-102
    • Dai, X.1    Zhang, W.2
  • 18
    • 0000489418 scopus 로고
    • Contractibility of the unitary group in Hilbert space
    • Kuiper N. Contractibility of the unitary group in Hilbert space. Topology. 3:1964;19-30.
    • (1964) Topology , vol.3 , pp. 19-30
    • Kuiper, N.1
  • 19
    • 0031206377 scopus 로고    scopus 로고
    • Higher Atiyah-Patodi-Singer index theory on Galois coverings
    • Leichtnam L., Piazza P. Higher Atiyah-Patodi-Singer index theory on Galois coverings. C.R. Acad. Sci. Paris. 325:1997;399-404.
    • (1997) C.R. Acad. Sci. Paris , vol.325 , pp. 399-404
    • Leichtnam, L.1    Piazza, P.2
  • 21
    • 0032221695 scopus 로고    scopus 로고
    • Spectral sections and higher Atiyah-Patodi-Singer index theory on Galois coverings
    • Leichtnam L., Piazza P. Spectral sections and higher Atiyah-Patodi-Singer index theory on Galois coverings. Geom. Funct. Anal. 8:1998;17-58.
    • (1998) Geom. Funct. Anal. , vol.8 , pp. 17-58
    • Leichtnam, L.1    Piazza, P.2
  • 22
    • 0002309619 scopus 로고    scopus 로고
    • Families of Dirac operators, boundaries and theb
    • Melrose R. B., Piazza P. Families of Dirac operators, boundaries and theb. J. Differential Geom. 46:1997;99-180.
    • (1997) J. Differential Geom. , vol.46 , pp. 99-180
    • Melrose, R.B.1    Piazza, P.2
  • 23
    • 0000618694 scopus 로고    scopus 로고
    • An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary
    • Melrose R. B., Piazza P. An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary. J. Differential Geom. 46:1997;287-234.
    • (1997) J. Differential Geom. , vol.46 , pp. 287-234
    • Melrose, R.B.1    Piazza, P.2
  • 24
    • 0031188080 scopus 로고    scopus 로고
    • Generalized symplectic geometries and the index of families of elliptic problems
    • Nicolaescu L. I. Generalized symplectic geometries and the index of families of elliptic problems. Mem. Amer. Math. Soc. 128:1997.
    • (1997) Mem. Amer. Math. Soc. , vol.128
    • Nicolaescu, L.I.1
  • 25
    • 0002081391 scopus 로고
    • Real-valued spectral flow
    • Perera V. Real-valued spectral flow. Contemp. Math. 185:1995;307-318.
    • (1995) Contemp. Math. , vol.185 , pp. 307-318
    • Perera, V.1
  • 26
    • 0040185353 scopus 로고
    • Superconnections and the Chern character
    • Quillen D. Superconnections and the Chern character. Topology. 24:1985;89-95.
    • (1985) Topology , vol.24 , pp. 89-95
    • Quillen, D.1
  • 27
    • 0040268699 scopus 로고
    • Fiber cobordism and the index of a family of elliptic differential operators
    • Shih W. Fiber cobordism and the index of a family of elliptic differential operators. Bull. Amer. Math. Soc. 72:1966;984-991.
    • (1966) Bull. Amer. Math. Soc. , vol.72 , pp. 984-991
    • Shih, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.