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Results tagged with lagrangian-submanifolds
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user 4690
4
votes
1
answer
392
views
Direct image of Lagrangian subspaces of the co-tangent bundle
Let $p:X \to Y$ be a map of smooth algebraic varieties.
Let $C \subset T^* X$ be a (locally closed) submanifold. Denote by $p_*(C) \subset T^* Y$ the following set:
$$ \{(y,v) \in T^*(Y)\mid\exists …
- 12.9k
2
votes
1
answer
223
views
Image of an isotropic manifold under lagrangian correspondence is isotropic?
Is the following statement well known?
Let $M,N$ be symplectic (algebraic) manifolds. Let $L \subset M \times N$ be a (smooth)
Lagrangian correspondence. For a subset $X \subset M$ we denote $L(X):=( …
- 2,649
1
vote
0
answers
221
views
Co-normal bundle of orthogonal compliment
Is the following fact well known?
Let $X$ be a manifold and $V$ be a vector space. Let $E_1$ be a sub-bundle of the constant bundle $X \times V$. Let $E_2$ be its orthogonal compliment in $X \tim …
- 2,649