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Volumn , Issue 22, 2004, Pages 1115-1141

Families Index for Pseudodifferential Operators on Manifolds with Boundary

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EID: 2142736180     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792804131838     Document Type: Article
Times cited : (17)

References (12)
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  • 2
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    • The index of elliptic operators. I
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    • Atiyah, M.F.1    Singer, I.M.2
  • 3
    • 45149139210 scopus 로고
    • Families index for manifolds with boundary, superconnections, and cones. I. Families of manifolds with boundary and Dirac operators
    • J.-M. Bismut and 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), no. 2, 313-363.
    • (1990) J. Funct. Anal. , vol.89 , Issue.2 , pp. 313-363
    • Bismut, J.-M.1    Cheeger, J.2
  • 4
    • 0000422320 scopus 로고
    • Families index for manifolds with boundary, superconnections and cones, II. The Chern character
    • _, Families index for manifolds with boundary, superconnections and cones, II. The Chern character, J. Funct. Anal. 90 (1990), no. 2, 306-354.
    • (1990) J. Funct. Anal. , vol.90 , Issue.2 , pp. 306-354
  • 6
    • 0000198632 scopus 로고    scopus 로고
    • Pseudodifferential operators on manifolds with fibred boundaries
    • R. Mazzeo and R. B. Melrose, Pseudodifferential operators on manifolds with fibred boundaries, Asian J. Math. 2 (1998), no. 4, 833-866.
    • (1998) Asian J. Math. , vol.2 , Issue.4 , pp. 833-866
    • Mazzeo, R.1    Melrose, R.B.2
  • 7
    • 0003261421 scopus 로고
    • The Atiyah-Patodi-Singer Index Theorem
    • A K Peters, Massachusetts
    • R. B. Melrose, The Atiyah-Patodi-Singer Index Theorem, Research Notes in Mathematics, vol. 4, A K Peters, Massachusetts, 1993.
    • (1993) Research Notes in Mathematics , vol.4
    • Melrose, R.B.1
  • 8
    • 0042245546 scopus 로고
    • The eta invariant and families of pseudodifferential operators
    • _, The eta invariant and families of pseudodifferential operators, Math. Res. Lett. 2 (1995), no. 5, 541-561.
    • (1995) Math. Res. Lett. , vol.2 , Issue.5 , pp. 541-561
  • 9
    • 2142852375 scopus 로고    scopus 로고
    • Homology of pseudodifferential operators on manifolds with corners I. Manifolds with boundary
    • to appear in
    • R. B. Melrose and V. Nistor, Homology of pseudodifferential operators on manifolds with corners I. Manifolds with boundary, to appear in Amer. J. Math.
    • Amer. J. Math.
    • Melrose, R.B.1    Nistor, V.2
  • 10
    • 0002309619 scopus 로고    scopus 로고
    • Families of Dirac operators, boundaries and the b-calculus
    • R. B. Melrose and P. Piazza, Families of Dirac operators, boundaries and the b-calculus, J. Differential Geom. 46 (1997), no. 1, 99-180.
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  • 11
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    • An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary
    • _, An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary, J. Differential Geom. 46 (1997), no. 2, 287-334.
    • (1997) J. Differential Geom. , vol.46 , Issue.2 , pp. 287-334
  • 12
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    • The Topology of Fibre Bundles
    • Princeton University Press, New Jersey
    • N. Steenrod, The Topology of Fibre Bundles, Princeton Landmarks in Mathematics, Princeton University Press, New Jersey, 1999.
    • (1999) Princeton Landmarks in Mathematics
    • Steenrod, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.