Does Windows 7 support running Hyper-V Manager?
It already does. You can get the RSAT tools from here
They include the Hyper-V manager for Windows 7.
After installing the above download, go to Windows Features in Control Panel and choose the 'Role Administration Tools'. Select Hyper-V Tools from there.
Edit: Link updated to current version.
Check out this tutorial Manage Hyper-V remotely from windows 7, worked for me