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Self-dual instantons and holomorphic curves

Self-dual instantons and holomorphic curves,Stamatis Dostoglou,Dietmar A. Salamon

Self-dual instantons and holomorphic curves   (Citations: 88)
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Published in 1994.
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    • ...[15], where the above connection between the Euler characteristic and...

    Alexander Fel'shtyn. New directions in Nielsen–Reidemeister theory

    • ...Dostoglou and Salamon [DS] extended Floer’s work [F2] on symplectomorphisms Hamiltonian isotopic to the identity to other symplectomorphisms...
    • ...We give a summary of how to dene HF ( ) and point out any relevant pitfalls. See also [DS, Se2]...

    Andrew Cotton-Clay. Symplectic Floer homology of area-preserving surface diffeomorphisms

    • ...For instance, for (simply connected) monotone symplectic manifold (M, ω), using the same method by Floer[F3] with some modified details, Dostoglou-Salamon[DS2] defined a new (or generalized) version of Floer homology for symplectic fixed points of some special symplectomorphism as φH = ψ−1 1 ◦ φ, where ψ1 is the time-1 map of symplectomorphisms ψt : M → M generated by a Hamiltonian Ht satisfying Ht = Ht+1 ◦ φ, i.e...
    • ...In particular, as what Dostoglou-Salamon claimed in [DS2], by the “fixed point index” property of the Maslov index listed in section 2, the Euler characteristic is just the Lefschetz number of φ...

    HAI-LONG HER. FLOER HOMOLOGY FOR SYMPLECTOMORPHISM

    • ...We expect that our Floer homology groups are isomorphic to the usual Floer homology groups [13, 9] of the closed 3-manifold in our main example and thus can be used as a starting point for an adiabatic limit argument as in [12]...
    • ...HF∗(M), as expected, then the proof of the Atiyah–Floer conjecture for M reduces to an adiabatic limit argument as in [12] which identifies the symplectic Floer homology group of the pair of Lagrangian submanifolds LH0, LH1 of the singular symplectic manifold M� := Aflat(�)/G(�) with the Floer homology groups HF([0,1] × �, LH0 × LH1) defined in the present paper...

    Dietmar A. Salamonet al. Instanton Floer homology with Lagrangian boundary conditions

    • ...Dostoglou‐Salamon [9]), at least in cases where reducible flat connections can be avoided...

    Timothy Perutz. A symplectic Gysin sequence

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