Can a lightsaber cut though what a green lantern constructs

I saw a lot of posts on lanterns vs sith/Jedi and I thought this would play a great role in the battle. I want to say it would cut threw because it would make a closer fight but wanted others thoughts. In the jla new 52 superman breaks through green lanterns constructs rather easily several times.

Well DC, so depends on what color the lightsaber is? :)

Just reading this, I realise there are as many, if not more, lightsaber colours as there are Lantern Corps.

Lightsabers are essentially hard lasers right? There aren't any examples of a saber blade ever breaking, so in theory if the user swings with enough force, it can break anything. Plus Qui-Gon Jinn's melted through several feet of titanium blast doors in about 30 seconds. That's some heat.