2. Bridge trisections

Problem 2.1.
Show the following families of are standard: (a) $(b;1)$bridge trisections (Remark: These surfaces have cyclic $\pi_1$ so interesting surfaces in this family are exotic.)
 (b) $(b;b1)$bridge trisections (Remark: Trisections of the double branched covers are trivial.)
 (c) $(b;c,bc+1,1)$bridge trisections (Remark: These surfaces have a single max (min).)

Problem 2.2.
Find new invariants of knotted surfaces using Heegaard Floer homology techniques. 
Problem 2.3.
Find Khovanov type invariants coming from bridge trisections of knotted surfaces. 
Problem 2.4.
Find Casson type invariants (based on character variety representations) of knotted surfaces. 
Problem 2.7.
Classify trivial tangles which have two different plat closures to unlink.
(Remark: Generate examples of bridge trisections)
Cite this as: AimPL: Trisections and lowdimensional topology, available at http://aimpl.org/trisections.