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Keywords
(1)
Holomorphic Curve
Related Publications
(17)
The YangMills equations over Riemann surfaces
New invariants of Three  and Four  Dimensional Manifolds
Ring structure of the Floer cohomology of S 脳 S
Quantum products for mapping tori and the AtiyahFloer conjecture
Gauge Theory in higher dimensions, II
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Selfdual instantons and holomorphic curves
Selfdual instantons and holomorphic curves,Stamatis Dostoglou,Dietmar A. Salamon
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Selfdual instantons and holomorphic curves
(
Citations: 88
)
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Stamatis Dostoglou
,
Dietmar A. Salamon
Published in 1994.
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(
www.math.ethz.ch
)
Citation Context
(67)
...[
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 CottonClay
.
Symplectic Floer homology of areapreserving surface diffeomorphisms
...For instance, for (simply connected) monotone symplectic manifold (M, ω), using the same method by Floer[F3] with some modified details, DostoglouSalamon[
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 time1 map of symplectomorphisms ψt : M → M generated by a Hamiltonian Ht satisfying Ht = Ht+1 ◦ φ, i.e...
...In particular, as what DostoglouSalamon 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...
HAILONG 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 3manifold 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. Salamon
,
et 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
References
(28)
New invariants of Three  and Four  Dimensional Manifolds
(
Citations: 47
)
M. F. Atiyah
Published in 1988.
The YangMills equations over Riemann surfaces
(
Citations: 633
)
M. F. Atiyah
,
R. Bott
Published in 1982.
Morsetype index theory for flows and periodic solutions for Hamiltonian equations
(
Citations: 190
)
Charles Conley
,
Eduard Zehnder
Journal:
Communications on Pure and Applied Mathematics  COMMUN PURE APPL MATH
, vol. 37, no. 2, pp. 207253, 1984
The orientation of YangMills moduli spaces and {4}manifold topology
(
Citations: 108
)
S. K. Donaldson
Journal:
Journal of Differential Geometry  J DIFFEREN GEOM
, vol. 26, no. 1987, pp. 397428, 1987
The geometry of fourmanifolds
(
Citations: 726
)
S. K. Donaldson
,
P. B. Kronheimer
Published in 1990.
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Citations
(88)
The growth rate of Floer homology and symplectic zeta function
Alexander Fel'shtyn
Published in 2011.
New directions in Nielsen–Reidemeister theory
Alexander Fel'shtyn
Journal:
Topology and Its Applications  TOPOL APPL
, vol. 157, no. 10, pp. 17241735, 2010
Morse homology for the heat flow
Joa Weber
Published in 2010.
A spectral sequence for symplectic homology
Mark McLean
Published in 2010.
The growth rate of symplectic homology and affine varieties
Mark McLean
Published in 2010.