The notices were issued by the bench of Justice Prakash Shrivastava on the petition filed by the sacked 36-year-old Assistant Professor.
The single-judge bench also gave relief to the woman professor by staying the order of the IIM-I management directing her to vacate her official residence situated in the institute premises.
The petitioner has challenged the legality of her termination order issued by the IIM-I Director N Ravichandran on April 28.
The petitioner alleged that the institute director was shielding the accused professor.
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She has also raised legal questions on the April 24 report of the Institute's Gender Sensitivity Committee and urged the court to cancel it.
According to sources, the nine-member committee after going through the evidence concluded that the charges of sexual harassment and sex-based discrimination were not true.
The termination notice was served to the woman professor four days after the release of the committee's report.