Loading Web-Font TeX/Math/Italic
| Register
\newcommand{\Cat}{{\rm Cat}} \newcommand{\A}{\mathcal A} \newcommand{\freestar}{ \framebox[7pt]{$\star$} }

7. Explicit contact handlebodies

    1. 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 7.2.

          Find other interesting explicit bypass decompositions of contact manifolds.
            • 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 7.6.

                          Does connected sum preserve tightness?
                            • 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.