# Pseudoholomoprhic curves on the $\mathfrak{LCS}$-fication of contact manifolds

@inproceedings{Oh2021PseudoholomoprhicCO, title={Pseudoholomoprhic curves on the \$\mathfrak\{LCS\}\$-fication of contact manifolds}, author={Y. G. Oh and Yasha Savelyev}, year={2021} }

For each contact diffeomorphism φ : (Q, ξ) → (Q, ξ) of (Q, ξ), we equip its mapping torus Mφ with a locally conformal symplectic form of Banyaga’s type, which we call the lcs mapping torus of contact diffeomorphism φ. In the present paper, we consider the product Q× S = Mid (corresponding to φ = id) and develop basic analysis of the associated J-holomorphic curve equation, which has the form ∂ π w = 0, wλ ◦ j = fdθ for the map u = (w, f) : Σ̇ → Q× S for the λ-compatible almost complex structure… Expand

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