Their actions are what you'd expect any firm to do to hedge their exposure. Its just that they were so large and the Indian stock market is relatively so small that they're hedging moved the market.
So the question is, was their market moving hedging actual market manipulation or was it just the same thing every other quant firm would do in the same situation to hedge out their option exposure?
https://libgen.li/edition.php?id=151275376
Here's a decent description of the issue.
No, their actions were the opposite.
They were pushing the price in the same direction as their derivatives holding. A hedge would push it in the opposite direction. (Eg: If you're long calls, you would hedge by selling the underlying, bringing its price down.)
Allegedly being investigated is also quite far from "been manipulating markets", I appreciate the clarification.
Sources:
https://www.reuters.com/sustainability/boards-policy-regulat...
https://www.business-standard.com/finance/news/explained-jan...
https://www.outlookbusiness.com/markets/jane-street-under-se...
https://www.rediff.com/business/report/why-is-sebi-probing-a...
https://www.reuters.com/sustainability/boards-policy-regulat...