There is not real "pipe" in the way you describe, but you will want to use some kind of Remote Desktop, so you can interact with your home computer from work.
This is NOT an easy task. A high overview of the process:
You will need to talk to your Internet provider and get a static (preferred method) IP address. Make a note of that IP address (that's your remote IP address you will need later on).
Install whatever program you want to use for Remote Desktop (on Windows computer, Remote Desktop is already preinstalled). If using Remote Desktop, enable the program (its disabled by default).
Make a note of the port used by the remote Desktop program.
On you router (not the cable modem, unless its a combined cable modem and router) you would have to configure it so that your computer gets a static IP address (same one every time - this is something the router hands out, and is not the same as the static one you will get from your internet provider).
On you router you would have to configure either port triggering, or port forwarding, making sure to match the IP address and port used for Remote Desktop (or whatever program) on your computer.
Once you get to work, make sure you have the same program installed on your work computer. Open it, and put in the External IP address your Internet provider gave you.
You will be prompted at some point for the username and password of your home computer, enter that and you should be all set.
Of course, wherever you work, you may want to ask your IT people if they block that Remote Desktop port, otherwise none of this will work.
Just remember, at home you do need a pretty decent upload speed (most providers give high download but slower upload speeds), and at work places, they tend to make upload and download speeds the same. if you don't have good upload speeds at home, then you may get some "stutter" as its streaming the Remote Desktop session. Also just know that DSL isn't very good, even at its fastest speeds available.
Again, this is high level, you would need to understand how to configure your router, etc.
Hope this helps.
DeVoiD