Sorry JackVII, I don't have an answer for your question. I'm not trying to bury your question as it's extremely valid and one that I would like to know as well.
What specialization of the Gymnastics skill would give bonus die to dodging attacks? "Dodge" isn't listed as a spec.
I think there isn't a specialization that can be applied generically to all attacks. You might say something along the lines of "evasion", but even that's a little vague. Most dodge actions aren't being done in a vacuum. Most dodge actions are to attempt to find cover, hit the dirt, etc. I don't know of any specialization of Gymnastics that might help in that area.
Honestly, it's one of the irritating things about switching all extra dodge dice to Gymnastics, but it's also nicely balanced because now people can't just become "dodge tanks." Dodging is done with your Reaction and Intuition, as it should be - Gymnastics is already the bonus dice.
In answer to your question though: there isn't anything specifically in the rules exhaustively stating all the potential specializations. So you and/or your GM can work together to determine if a "dodge" specialization is something you want to include. I wouldn't include it, personally.