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9. Symplectic fillings of contact submanifolds


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      Problem 9.1.

      [Chaidez] Given a Weinstein domain, can we construct a distinct Weinstein filling of its countact boundary and/or a contactomorphism of its boundary inducing the same augmentation.


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          Problem 9.2.

          [Casals] Classify symplectic fillings of contact submanifolds of $(S^5,\xi_{std})$ in its standard $D^6$ filling. E.g. Show that the standard $S^3\subset S^5$ has a unique filling up to Hamiltonian isotopy.


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              Problem 9.3.

              [Gironella] Can we restrict the topology of symplectic fillings using convex surfaces in their boundaries? (c.f. filling by holomorphic curves)

                  Cite this as: AimPL: Higher-dimensional contact topology, available at http://aimpl.org/highdimcontacttop.