Self-adjoint elliptic operators and manifold decompositions Part III: Determinant line bundles and Lagrangian intersection

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1097-0312(199905)52:5<543::AID-CPA1>3.0.CO;2-O" /><543::AID-CPA1>3.0.CO;2-O 10.1002/(SICI)1097-0312(199905)52:5<543::AID-CPA1>3.0.CO;2-OzbMath0934.58027OpenAlexW2615833167MaRDI QIDQ4257025

Ronnie Lee, Edward Y. Miller, Sylvain E. Cappell

Publication date: 23 September 1999

Full work available at URL: https://doi.org/10.1002/(sici)1097-0312(199905)52:5<543::aid-cpa1>3.0.co;2-o

zbMATH Keywords

Floer homologyeta invariantspectral flowCasson invariantMaslov indexrational homology spheresBoyer-Nicas invariantcanonical perturbations in symplectic geometryjumping boundary conditionsjumping Lagrangians

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (6)

On a formula for the spectral flow and its applications ⋮ A generalization of Yoshida-Nicolaescu theorem using partial signatures ⋮ Fredholm-Lagrangian-Grassmannian and the Maslov index ⋮ Convergence of eigenvalues and Green functions under surgery type degeneration of Riemannian manifolds ⋮ Atiyah--Patodi--Singer boundary condition and a splitting formula of a spectral flow ⋮ Rohlin's invariant and gauge theory III. Homology \(4\)--tori

Cites Work

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• Casson's invariant and gauge theory
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• Floer homology and splittings of manifolds
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Floer homology for connected sums of homology 3-spheres
• Computing spectral flow via cup products
• Dirac operators coupled to vector potentials
• A symplectic geometry approach to generalized Casson’s invariants of 3-manifolds
• An Extension of Casson's Invariant. (AM-126)
• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. II
• On the maslov index
• Self-adjoint elliptic operators and manifold decompositions part I: Low Eigenmodes and stretching
• Self-adjoint elliptic operators and manifold decompositions Part II: Spectral flow and Maslov index
• Seminar on Atiyah-Singer Index Theorem. (AM-57)

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