I stopped by Koch Theater at Lincoln Center to buy ABT tickets yesterday afternoon. A lot of activity in the lobby in preparation for the opening of the The Bolshoi Ballet run, until July 27. I overheard a conversation at the ticket booth regarding Bolshoi tickets. Summary: tickets are sold out for the entire run. However, standing room only tickets the day of the performance go on sale at 10 am each morning for $28.
Here is a Wall Street Journal article summarizing three female leading dancers, Svetlana Zakharova, Olga Smirnova, and Ekaterina Krysavova.