They seem to be working quite independently. They are working with Syrian rebel factions against ISIS, but they have recently also launched an operation towards liberating Deir Ez Zor, where ISIS have been besieging an Assad regime garrison for ages. It would seem that they are more or less neutral in Syrian civil war, while supporting any anti ISIS efforts both in Syria and Iraq.
The main problem for Kurdish independent state is of course Turkey. Turkey would feel threatened with a Kurdish state at their Southern border and apparently one of the main reasons for launching an attack against ISIS at Al Bab was to make sure that the Syrian Kurdish forces would not take control of all areas at the border of Turkey and Syria. Until now Turkey has been more friendly with the Iraq Kurdish and more resentful towards the Syrian Kurds, apparently in order to divide the two, but it would seem that have not worked very well.
My bet is that like before, the outside powers will see Turkey as more important partner compared to any Kurdish state, so im afraid what ever independent realm they are going to form. They have to carve it out and defend themselves.
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