I don't know of any laptop which takes HDMI input.
You can use something like VNC to transmit a copy of the Mac Mini's desktop over the network to the laptop, and display that. It looks like OS X has a VNC server built-in, so you'd just need a VNC client on the laptop (I use tightVNC).
https://www.raymond.cc/blog/remote-access-apple-mac-os-x-via-windows/2/