Only laptop I've seen that meets those criteria is the one I'm using right now. Gigabyte P34W.
http://www.notebookcheck.net/Gigabyte-P34W-v3-Notebook-Review.135573.0.html
Quad core, 4.5+ hours battery (about as good as you'll get with a quad core unless you go to ridiculously large batteries like the Dell XPS 15 and Macbook Pro 15), 1.8 kg, 14" FHD IPS screen, and price ranges from $1100-$1600 depending on config. The newer models may be able to go 5+ hours due to the newer CPUs. Think of it as the poor man's Razer Blade.
The only real gotcha is the build quality seems to be hit or miss. I like it, but I seem to have gotten lucky with one which didn't have most of the build quality issues others are complaining about. The fan...