Positivity of Symplectic Area for Perturbed J-holomorphic Curves

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dc.creatorFelcyn, Pawel
dc.date2002-02-07
dc.date.accessioned2026-07-07T04:46:20Z
dc.date.available2026-07-07T04:46:20Z
dc.descriptionIn this paper we will prove that for a compact, symplectic manifold $(M, ω)$ and for $ω$-compatible almost-complex structure J any properly perturbed J-holomorphic curve has a non-negative symplectic area. This non-negative property provides us with a new obstruction to the bubbling off phenomenon and thus allows us to redefine the Floer symplectic homology. In particular, in subsequent papers, we will prove the Arnold conjecture in both degenerate and non-degenerate cases with integer coefficients for general, symplectic manifolds.
dc.identifierhttps://arxiv.org/abs/math/0202058
dc.identifierhttp://arxiv.org/abs/math/0202058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63294
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.titlePositivity of Symplectic Area for Perturbed J-holomorphic Curves
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