?? additional item for section 3 ... ??? modified version of theorem 2.1 ... ?? for symmetric semi-monoidal 2-morphism ... ?? ... ??? but ... ??? confusion about .... ??? whether that's mainly just supposed toget rid of the line bundle, or does it get rid of the toric map as well ??? ..... ??????? ........

?? concrete stuff about toric convolution and functors preserving it ... ?? affine line and projective line cases ??? ....

?? preserving toric convolution alone ... preserving it and also ordinary tensor product .... ?? "mayhem" games ?? ...

?? "mayhem" and "quantum double" ?? ... ??? modules and co-modules together .... ??? .....

?? idea of extra clause in theorem 2.1 concerning functors preserving toric convolution .... ???? ....