The notice asked Ritabrata Banerjee to turn up before CID officers on Friday, Additional Director General of Police, CID, West Bengal, Rajesh Kumar told PTI.
The woman, who is a resident of Balurghat, has lodged a complaint at Balurghat police station in south Dinajpur district alleging that Ritabrata Banerjee had established physical relationship with her by promising marriage.
Last week, she had tweeted that Ritabrata Banerjee had promised to marry her before getting physical.
"We have taken up the case and a notice has been served to Ritabrata ... The case is quite important because of the nature of allegation made by a woman. This was the reason why we have taken up the case," Kumar said.
Ritabrata Banerjee has claimed that the woman's allegations were false and has lodged a complaint at Garfa police station in the city, demanding action against her for "maligning" his image, a senior officer of Kolkata Police said today.