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Volumn 24, Issue 1, 2001, Pages 113-128

Criss-cross reduction of the maslov index and a proof of the yoshida-nicolaescu theorem

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EID: 2542466295     PISSN: 03873870     EISSN: None     Source Type: Journal    
DOI: 10.3836/tjm/1255958316     Document Type: Article
Times cited : (11)

References (17)
  • 2
    • 1342344570 scopus 로고    scopus 로고
    • The Maslov Index–a functional analytical definition and the spectral flow formula
    • B. booss-bavnber and K. furutani, The Maslov Index–a functional analytical definition and the spectral flow formula, Tokyo J. Math. 21 (1998), 1-34.
    • (1998) Tokyo J. Math , vol.21 , pp. 1-34
    • Booss-Bavnber, B.1    Furutani, K.2
  • 3
    • 2542487779 scopus 로고    scopus 로고
    • B. BOOSS-BAVNBEK and K. P. WOJCIECHOWSKI Geometric Aspects of Partial Differential Equations, Contemporary Mathematics 242
    • B. booss-bavnbek and K. furutani, Symplectic functional analysis and spectral invariants, (eds. B. BOOSS-BAVNBEK and K. P. WOJCIECHOWSKI), Geometric Aspects of Partial Differential Equations, Contemporary Mathematics 242 (1999), Amer. Math. Soc., 53-83.
    • (1999) Symplectic Functional Analysis and Spectral Invariants , pp. 53-83
    • Booss-Bavnbek, B.1    Furutani, K.2
  • 5
    • 0001212882 scopus 로고    scopus 로고
    • B. BOOSS-BAVNBEK and K. P. WOJCIECHOWSKIGeometric Aspects of Partial Differential Equations, Contemporary Mathematics
    • J. BRÜNING and M. LESCH, Spectral theory of boundary value problems for Dirac type operators, (eds. B. BOOSS-BAVNBEK and K. P. WOJCIECHOWSKI), Geometric Aspects of Partial Differential Equations, Contemporary Mathematics 242 (1999), Amer. Math. Soc., 203-215.
    • (1999) Spectral Theory of Boundary Value Problems for Dirac Type Operators , pp. 203-215
    • Brüning, J.1    Lesch, M.2
  • 7
    • 0030494290 scopus 로고    scopus 로고
    • Selfadjoint elliptic operators and manifold decompositions Part I: Low eigenmodes and stretching
    • Part II: Spectral flow and Maslov index, Comm. Pure Appl. Math. 49 (1996), 869-909/Part III: Determinant line bundles and Lagrangian intersection, Comm. Pure Appl. Math. 52 (1999), 543-611
    • S. E. CAPPELL, R. LEE and E. Y. MILLER, Selfadjoint elliptic operators and manifold decompositions Part I: Low eigenmodes and stretching, Comm. Pure Appl. Math. 49 (1996), 825-866/Part II: Spectral flow and Maslov index, Comm. Pure Appl. Math. 49 (1996), 869-909/Part III: Determinant line bundles and Lagrangian intersection, Comm. Pure Appl. Math. 52 (1999), 543-611.
    • (1996) Comm. Pure Appl. Math , vol.49 , pp. 825-866
    • Cappell, S.E.1    Lee, R.2    Miller, E.Y.3
  • 8
    • 85035303866 scopus 로고    scopus 로고
    • K. P. WOJCIECHOWSKI, A general splitting formula for the spectral flow, Bloomington preprint
    • M. DANIEL and P. KIRK, with an appendix by K. P. WOJCIECHOWSKI, A general splitting formula for the spectral flow, Bloomington preprint (1999).
    • (1999) With an Appendix By
    • Daniel, M.1    Kirk, P.2
  • 9
    • 0041314644 scopus 로고
    • The structure of q-symplectic geometry
    • M. DE GOSSON, The structure of q-symplectic geometry, J. Math. Pures Appl. 71 (1992), 429-453.
    • (1992) J. Math. Pures Appl , vol.71 , pp. 429-453
    • Gosson, M.1
  • 12
    • 84973998973 scopus 로고
    • The Maslov index, the spectral flow, and decomposition of manifolds
    • L. NICOLAESCU, The Maslov index, the spectral flow, and decomposition of manifolds, Duke Math. J. 80 (1995), 485-533.
    • (1995) Duke Math. J , vol.80 , pp. 485-533
    • Nicolaescu, L.1
  • 13
    • 0031188080 scopus 로고    scopus 로고
    • Generalized Symplectic Geometries and the Index of Families of Elliptic Problems
    • L. NICOLAESCU, Generalized Symplectic Geometries and the Index of Families of Elliptic Problems, Mem. Amer. Math. Soc. 609 (1997).
    • (1997) Mem. Amer. Math. Soc
    • Nicolaescu, L.1
  • 14
    • 84972536268 scopus 로고
    • Spectral flow and Maslov index arising from Lagrangian intersections
    • N. OTSUKI and K. FURUTANI, Spectral flow and Maslov index arising from Lagrangian intersections, Tokyo J. Math. 14 (1991), 135-150.
    • (1991) Tokyo J. Math , vol.14 , pp. 135-150
    • Otsuki, N.1    Furutani, K.2
  • 15
    • 0030445801 scopus 로고    scopus 로고
    • Self-adjoint Fredholm operators and spectral flow
    • J. PHILLIPS, Self-adjoint Fredholm operators and spectral flow, Canad. Math. Bull. 39 (1996), 460-467.
    • (1996) Canad. Math. Bull , vol.39 , pp. 460-467
    • Phillips, J.1
  • 16
    • 0000155326 scopus 로고
    • The Maslov index for paths
    • J. ROBBIN and D. SALAMON, The Maslov index for paths, Topology 32 (1993), 827-844.
    • (1993) Topology , vol.32 , pp. 827-844
    • Robbin, J.1    Salamon, D.2
  • 17
    • 0000445571 scopus 로고
    • Floer homology and splittings of manifolds
    • T. YOSHIDA, Floer homology and splittings of manifolds, Ann. of Math. 134 (1991), 277-323.
    • (1991) Ann. Of Math. , vol.134 , pp. 277-323
    • Yoshida, T.1


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