Whatever happened to the Thanagarian Hawkman (pre-New-52)?
Once DC decided to make all of Katar Hol's Silver Age history with the Justice League instead happened to the Golden Age Hawkman, Carter Hall, and stated that Katar's adventures had only started recently, it seems like all of the adventures of Hawkman we've seen since have been that of the Carter Hall. He rejoined the JSA, got his own series with Kendra Saunders, and showed up in all the major crossover events.
So where did the Katar Hol go, or for that matter, Shayera Hol, and in what series have they shown up?