Swiping from the left and right edges on phones is prone to get confused with the swiping inside apps, that's the reason that none of the big mobile OSes have it. I am curious to see whether that's taken care of here.
This is already a problem with Chrome for iOS. It makes building apps in the browser difficult when swiping on the left and right edges triggers a "tab" switch.
Chrome for Android does the same (you can change tabs by swiping left-right), and it's very unreliable - I manage to change tabs by accident by swiping, but can never do that on purpose...
Interestingly, I find the gestures from the side work much better on the Nexus 4 with the screen curve. Seems they designed the phone with chrome in mind.