7. Explicit contact handlebodies
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Problem 7.1.
[Breen] Give a bypass description of convex surfaces foliating the region in (S^5,\xi_k):=\text{OBD}(T^*S^2, \tau^{2k+1}) between two Darboux balls. -
Problem 7.3.
[Murphy] Can we characterize trivial bypasses in terms of the belt sphere of n-handle and the attaching sphere of the n+1 handle? -
Problem 7.4.
Can triviality be detected via capacities on balls around the intersection point? -
Problem 7.5.
[Murphy] Understand contact connected sum in high dimensions: can non-standard structures on S^5 connect sum to give \xi_{std}? -
Problem 7.7.
Can non-destabilizable OBDs connect sum to a destabilizable (or otherwise non-minimal) OBD?
Cite this as: AimPL: Higher-dimensional contact topology, available at http://aimpl.org/highdimcontacttop.