Hi,
A connector is a custom service or program that allows System Center Operations Manager to communicate with external systems. For example, you can create a connector that sends Operations Manager alerts to an application that tracks the alerts. The application
can use the connector to send an update to Operations Manager, indicating that the alert has been resolved.
For more information, please refer to the following article:
http://msdn.microsoft.com/en-us/library/bb437511.aspx
Given this information, the SCOM/Tivoli connector will allow SCOM communicate with Tivoli.
Please remember to click “Mark as Answer” on the post that helps you, and to click “Unmark as Answer” if a marked post does not actually answer your question. This can be beneficial to other community members reading the thread.