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Showing 1 to 6 of 6 for “"almost complex structure"”.
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On contact homology of the unit cotangent bundle of a Riemann surface with genus greater than one
… greater than 1. The contact form and compatible almost complex structure are both constructed from a metric on the Riemann surface whose curvature is constant -1. I related the pseudo-holomorphic curve equation to harmonic map equations and a Cauchy-Riemann type equation perturbed with quadratic …
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Relative Hilbert scheme methods in pseudoholomorphic geometry
… fibration that are made holomorphic by an almost complex structure which is integrable near C and with respect to which the fibration is a pseudoholomorphic map. We also introduce certain refinements of DS and show that these refinements are equal to Gromov invariants which count …
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Symplectic isotopy for cuspidal curves
… symplectic form wst. Let J0 be a wst-tame almost complex structure. Let Co c B be a connected J-holomorphic curve in B with a isolated singularity at 0 E B and without multiple components. Assume in addition that the boundary OCo is smoothly embedded. We prove that any two connected, …
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Studying the Space of Almost Complex Structures on a Manifold Using de Rham Homotopy Theory
… for each connected component of the space of almost complex structures on a manifold. As a special case, we discuss the space of almost complex structures on the six sphere and conclude a conjecture about the ordinary homotopy type of that space.</p>
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SPECIAL RIEMANNIAN STRUCTURES ON FOUR-MANIFOLDS: FROM TWISTOR SPACES TO UNOBSTRUCTED CONDITIONS
… these spaces can be endowed with two natural almost Hermitian structures, which are strictly linked to the geometry of the underlying manifold. We prove rigidity and characterization results for special metrics on four-manifolds in twistorial terms and we study curvature conditions holding on …
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Embedded contact knot homology and a surgery formula
… the work of Taubes). The embedded contact chain complex is defined by counting closed orbits of the Reeb vector field and certain pseudoholomorphic curves in the symplectization of the manifold. As part of their proof that ECH=HF, Colin, Ghiggini and Honda showed that if the contact form is …