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Formatted special character (\"{a}) to render correctly. Reformatted last sentence.
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edit approved Sep 2, 2014 at 16:40
Joonas Ilmavirta
edit approved Sep 2, 2014 at 16:40
Joonas Ilmavirta
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Let $(X,\omega)$ be a symplectic manifold, $L\subset X$ be a Lagrangian submanifold, $[L]$ denotes the Hamiltonian isotopy class. How to represent $L'\in[L]$ via $L$ (for example, a graph over $L$)? Is there aan analogue to the $\partial\bar{\partial}-$ lemma as$\partial\bar{\partial}$-lemma in K"{a}hlerKähler geometry?

Let $(X,\omega)$ be a symplectic manifold, $L\subset X$ be a Lagrangian submanifold, $[L]$ denotes the Hamiltonian isotopy class. How to represent $L'\in[L]$ via $L$ (for example, a graph over $L$)? Is there a analogue $\partial\bar{\partial}-$ lemma as in K"{a}hler geometry?

Let $(X,\omega)$ be a symplectic manifold, $L\subset X$ be a Lagrangian submanifold, $[L]$ denotes the Hamiltonian isotopy class. How to represent $L'\in[L]$ via $L$ (for example, a graph over $L$)? Is there an analogue to the $\partial\bar{\partial}$-lemma in Kähler geometry?

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Yiyan
Yiyan
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Hamiltonian Isotopy class of Lagrangian Submanifold

Let $(X,\omega)$ be a symplectic manifold, $L\subset X$ be a Lagrangian submanifold, $[L]$ denotes the Hamiltonian isotopy class. How to represent $L'\in[L]$ via $L$ (for example, a graph over $L$)? Is there a analogue $\partial\bar{\partial}-$ lemma as in K"{a}hler geometry?