I'm going to be in London next week, mid-week (maybe Tuesday to Friday) and would like to check out some world-class restaurants. There are places in New York, like Per Se or Eleven Madison Park, that are quite vegetarian-friendly, even without advance notice, but are world-class in their own right. I'm also think of places like Arpege in Paris.
Are there comparable places in London? I don't want to go to a "vegetarian restaurant", but a world-class, Michelin-starred (preferable, but not required) restaurant, that ALSO does vegetarian food well.
What would be my best bets?
Bonus points if it's convenient to Canary Wharf, but not required.
Thanks in advance!