Why the hell isn't there any laptop with gtx 965m, u processor, 6+ hours of battery life and under 2kg? WHYYYYYYYY?
Enter Dell Alienware 13. It's 860M but is bound to be updated to 965M soon, I believe. 1.96 kg, i5-4210U. Supports external graphics amplifier (though the CPU is bottlenecking most high-end GPUs). About 5-5.5 hours battery life on 1080p video/Wi-Fi surfing. Very decent FHD matte IPS screen.
Ah, I misread: you didn't specify it has to be 13 inch. In that case there are also some models from Asus available with 860M. Other brands too but I don't trust the likes of Lenovo and their fragile Y50. Please keep in mind that the 965M is a brand-new GPU. Expect to see many more laptops with it soon enough.