Not only is connecting with your boss important but so is keeping him or her informed of your successes. People think their bosses know what they do on a daily basis and what they have accomplished. Surprisingly most don't. Most bosses are overworked these days. If nothing is going obviously wrong they assume your doing an okay job. However, your successes often go unnoticed or may be attributed to others.
It is important therefore that you make sure that when you do something significant the right people know about it. You need to do that without seeming to be self-promoting. You can do that with matter of fact updates to the people you need to influence. E-mails allow you to do this easily and routinely. An excellent technique for making sure all the right people know about business success is to send out a note praising your subordinates for their outstanding efforts. That way you can brag all you want about the achievements and at the same time be considered to be a good boss because you are sharing the credit for your successes.
Remember if a tree falls in the forest and nobody hears who cares? If you do great work and nobody knows about it, in terms of your career it is as if it did not happen.