Karabiner Elements (MacOS)

switch_screens.json

{
  "description": "ctrl+shift+1 - move cursor to center of screen 0 -- ctrl+shift+2 - move cursor to center of screen 1",
  "manipulators": [
    {
      "type": "basic",
      "from": { "key_code": "1", "modifiers": { "mandatory": ["left_control", "left_shift"] } },
      "to": [{ "software_function": { "set_mouse_cursor_position": { "screen": 0, "x": "50%", "y": "50%" } } }]
    },
    {
      "type": "basic",
      "from": { "key_code": "2", "modifiers": { "mandatory": ["left_control", "left_shift"] } },
      "to": [{ "software_function": { "set_mouse_cursor_position": { "screen": 1, "x": "50%", "y": "50%" } } }]
    }
  ]
}