Timeline for Topological cycles with Lagrangian support
Current License: CC BY-SA 3.0
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| Apr 26, 2018 at 18:39 | comment | added | D. L Garcia | Thanks a lot. Actually, the question arose after I took a course in Hodge theory by H. Movasati (see w3.impa.br/%7Ehossein/myarticles/hodgetheory.pdf). So the idea come what would be the equivalent of Hodge conjecture in symplectic geometry. Even there is no conjectural description of such cycles. | |
| Apr 25, 2018 at 4:17 | comment | added | Chris Woodward | For n=2 this question was studied by Schoen-Wolfson. The answer is yes if certain conical singularities are allowed. | |
| Apr 24, 2018 at 16:25 | comment | added | S. carmeli | I just heard recently a lecture by Jake Salomon in which it is stated that the question whether the classes of Lagransian submanifolds generate the whole middle cohomology for CY manifolds is open, and is sort of Mirror Symmetric to the Hodge conjecture on algebraic cycles, so it should't be easy. I'm not sure if this is precisely what you mean or if I understood correctly what he said, though. | |
| Apr 24, 2018 at 14:23 | history | edited | Michael Albanese | CC BY-SA 3.0 |
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| Apr 24, 2018 at 14:16 | review | First posts | |||
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| Apr 24, 2018 at 14:15 | history | asked | D. L Garcia | CC BY-SA 3.0 |