Yes, crew stop in Europe as well for an additional 48 hours each way.
The layovers cannot be effectively reduced due to DGCA regulations that require a minimum of 24 hours rest for crew operating >8 hrs in a day. In the event of a delayed flight, the subsequent day's operation would also be affected creating a spiral effect down the line. It is more efficient to adopt a 48 hr layover pattern as a result.
The normal pattern to JFK is India-LHR/48h/LHR-JFK/48h/JFK-LHR/48h/LHR-India. EWR and ORD follow similar patterns.
There are some exceptions including the notorious "double shuttle" that runs BOM-DEL/18h/DEL-LHR/72h/LHR-ORD/48h/ORD-LHR/48h/LHR-JFK/48h/JFK-LHR/48h/LHR-DEL/48h/DEL-BOM that runs 16 days away from base.
"The A340-300 may boast a long range, but the A340 is underpowered" -- Robert Milton, CEO - Air Canada