Additional commentary about this game and about back rank mates can be found at this Chessville article by IM Igor Khmelnitsky.
White wins with the dramatic 1.Nf5. Khmelnitsky writes:
"After 1…exf5 2.Qxc8+ Nxc8 and, suddenly, the Rook on e1 has its path to e8 cleared – like magic, all three pieces (Ne3,Pe6,Ne7) have vanished and the defender (Rc8) is gone as well! 3.Re8#. All other Black responses would lead to losing a ton of material."
