Hello soubash;
A laptop serial number doesn't show up on the Internet. You can't track a stolen laptop through the serial number.
Your IP address you used on the Internet isn't won't help you locate a stolen laptop. It will have a different IP address if it connects to the internet with a new ISP account.
File a report with the police in case it's found.
Notify the laptop manufacturer in case the laptop ever needs to be serviced.