My korg triton studio touchscreen is cracked. Does anyone know where I can get a replacement touch panel overlay?

If you have electronic expeerience, take it to a repair shop. You can cause more damage okiong around if you don't know what you're doing.
Past that, contact Korg customer service for the schematic and parts list. The part should be available from Korg directly of from Mouser
http://www.korg.com/us/support/contact
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Take it appart rub it with pure alcohol an put the touchpad together again

Where can i purchasea lcd for my korg triton studio

You will have to go to Korg to get the replacement screen.

Here: http://www.guitar-parts.com/catalog/korg/korg-touch-screens-lcds

Wow ... $300... ouch...!!!

Try this site:

http://www.tritonhaven.com/

Try this link:http://www.korgparts.com/content/estore_list.asp?category=3&catname=Korg

Touch screens can develop a problem of dirt getting under the edge causing triggering as if one is pressing there is only one of several possibilities.

Due to the value of the instrument, I would take this to a repair shop as you probably don't have resources necessary to repair the unit.

They need to be downloaded from korg.com. You need to have a floppy disk drive to load them unfortunately.

try cleaning ALL the contacts involved with Caig DeOxit (D5, S5. F6, G5, etc.) products*, they work very well. e.g.; cables, inputs, outputs, and (if you're confident) all the contact points "under the hood". this static you speak of sounds like less than stellar contact points and can addressed at home if you've the motivation to DIY.
* amazon.com/D5S6-Contact-Cleaner-F5S-H6-FaderLube/dp/B00HNV7WI2?SubscriptionId=AKIAILSHYYTFIVPWUY6Q&tag=duckduckgo-d-20&linkCode=xm2&camp=2025&creative=165953&creativeASIN=B00HNV7WI2

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