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Results tagged with lagrangian-submanifolds
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user 10839
1
vote
Accepted
Lagrangian fibration on Schoen's Calabi-Yau 3-fold
I realise this is an old question (and by now you may already know the
answer) but here's a way I think you can construct this fibration.
Suppose that $E\stackrel{f}{\to}\mathbf{P}^1$ and
$E'\stackre …
- 7,005
4
votes
Lagrangian Kleinian bottles
Just to explicitly answer the first part of your question, the original version of Nemirovski's first paper (https://arxiv.org/abs/math/0106122v1) surveys what is known about the other surfaces. Namel …
- 7,005
9
votes
Accepted
Lagrangian intersection Floer homology: understanding some assumptions
When you try and prove that $d^2=0$ ($d$ being the Floer differential) you need to look at the boundary of the moduli space of index 2 J-holomorphic strips with one boundary on $L_0$, one on $L_1$. Ce …
- 7,005
3
votes
Symplectic mapping class group and the "Lagrangian sphere complex"
I only just noticed this question, so maybe it's too late, but here's an
answer.
Note that some symplectic manifolds (like $\mathbf{CP}^2$) contain no Lagrangian spheres, so
this complex is then empt …
- 7,005