GTX 970 HDMI 1.4 will it work?

Solution
A HDMI 1.3 cable is exactly the same as a HDMI 2.0 cable except for better electrical specifications to support the higher signaling bandwidth.

Since your monitor only supports up to HDMI 1.4 though, there is no point in worrying about the GPU supporting HDMI 2.0 since it will operate within HDMI 1.4 spec supported by the monitor.
A HDMI 1.3 cable is exactly the same as a HDMI 2.0 cable except for better electrical specifications to support the higher signaling bandwidth.

Since your monitor only supports up to HDMI 1.4 though, there is no point in worrying about the GPU supporting HDMI 2.0 since it will operate within HDMI 1.4 spec supported by the monitor.
 
Solution