Trisection genus
From Manifold Atlas
[edit] 1 Problem
Let be a closed smooth -manifold. The trisection genus of is the minimal genus of the central surface appearing in a trisection of .
Question: Is the trisection genus additive under connected sum?
If so, then the following hold
- The trisection genus of is a homeomorphism invariant.
- The manifolds , , , and have a unique smooth structure.