I think I understand now, you’re saying that the Carbon-14 dating refutes the pre-ice age hypothesis?
No, not the carbon-14 dating, other evidence.
For example, the memory of this city was preserved in the current cultures of India, before it was rediscovered. These were not the same cultures that were present 10,000 years ago, so how would they know of the city if it were that old? India has suffered repeated invasions and displacements of culture over that period.
Also, the architecture of the city is not indicative of being 10,000 years old. In that time period, the style of architecture worldwide was megalithic, but these structures look nothing like that. Instead, they are quite similar to much more recent styles that can be seen in monuments that are preserved all over India. It beggars belief that they would develop a style of architecture, forget it for thousands of years, and then independently develop it again.