Dear Soumik -
The idea was not reviewed yet. At this point, since it is not an easy
proof, the goal of this discussion group is precisely to clarify, as
much as possible, point by point, the contents of the manuscript to
the interested readers. I highlight that the manuscript is full of new
ideas but the definitions, proofs, and examples are complete - there
are no such things as "it is easy to see that..." or "if one proofs
this result then ...". Since the material is new, it requires,
possibly, discussions so one finds the most appropriate way to explain
it.
Alexandre