In this position (diagram), there have been two games where White played 14.Kh1 followed by 15.Be3, then Qe1 and Bf2.
- What is the idea behind 14.Kh1 and the other kingside moves when Black is not developing anything strong on the kingside?
The opening was the King's Indian Defense Bayonet Attack. Black himself had played 13...Ne7-g8, with the Knight apparently headed for f6 and possibly h5. Clearly Black is playing on the kingside, and White has ideas of a2-a4 and cxd6 on the queenside.
The position in FEN is
r1bq1rnk/ppp3bp/3p2p1/2PPpp2/1PN1Pn2/2N2P2/P3B1PP/R1BQ1RK1 w - - 0 14
for those who wish to paste it and make a search of the 6 games with this position. By the way, Stockfish 11 (at depth 49) also evaluates favorably towards Kh1 and Be3:
[title "First line, with Stockfish 11 (depth 49) evaluation = 0.95"] [fen "r1bq1rnk/ppp3bp/3p2p1/2PPpp2/1PN1Pn2/2N2P2/P3B1PP/R1BQ1RK1 w - - 0 14"] 1. Kh1 fxe4 2. fxe4 Nf6 3. Be3 b6 4.c6 h5 5.a4 Ng4 6.Bg1 a6 7.Bf3 Kg8 8.Rb1 Bh6 9.Qc2 Qe7 10.b5 axb5 11.Nxb5 Ba6 12.Rb3 Nf6 13.Rfb1 Rab8 14.Ra1 h4 15.Ne3 N6h5 16.Bf2 Bc8 17.Nc4 Ba6 18.Be3 Ng3+ 19.Kg1 Ngh5 20.Bxh5 gxh5 21.Kh1 Qg7 22.h3 Ra8 23.Rbb1 Bxb5 24.axb5 Rxa1 25.Rxa1 Qg3 26.Bg1 Qd3 27.Qxd3
[title "Second line, with Stockfish 11 (depth 49) evaluation = 0.68"] [fen "r1bq1rnk/ppp3bp/3p2p1/2PPpp2/1PN1Pn2/2N2P2/P3B1PP/R1BQ1RK1 w - - 0 14"] 1.Be3 Qg5 2.g3 Nxe2+ 3.Qxe2 f4 4.Bd2 Qe7 5.cxd6 cxd6 6.a4 Nh6 7.Nd1 Nf7 8.Nf2 Ng5 9.Ra3 Bd7 10.Kg2 Rac8 11.b5 h5 12.Na5 Rc2 13.Rc1 Rxc1 14.Bxc1 Bg4 15.Bd2 Kg8 16.Nc4 Bd7 17.Rc3 Rc8 18.Qd1 h4 19.g4 Be8 20.Rc2 a6 21.Bb4 axb5 22.Nxd6 Rxc2 23.Qxc2 bxa4 24.Qc8 Bf8 25.Nc4 Qxb4 26.Qxe8 Qxc4 27.Qxg6+ Kh8 28.Qxg5
After depth 50/83, Stockfish 11 likes 14.Kh1 second best and calculates that White can stand up to any attack on the kingside and so chooses to proceed with 14.a4 followed by cxd6, though it still likes Be3:
- +/- (0.97): 14.a4 Nf6 15.Be3 g5 16.cxd6 cxd6 17.Rc1 Qe7 18.Re1 fxe4 19.Nxe4 N6xd5 20.Bxf4 Nxf4 21.Qxd6 Qe8 22.Ne3 g4 23.fxg4 Be6 24.Rcd1 Rd8 25.Qxd8 Qxd8 26.Rxd8 Rxd8 27.g3 Nxe2+ 28.Rxe2 Rd4 29.Nc5 Bc8 30.Rc2 b6 31.Nb3 Rd8 32.Nd2 Bh6 33.Ndc4 Be6 34.Kf2 Rc8 35.Kf3 Bxe3 36.Nxe3 Rxc2 37.Nxc2 Bb3 38.Ne3 Bxa4 39.Ke4 Bc6+ 40.Kxe5 a5 41.bxa5 bxa5 42.Kd6 Be4 43.Nc4 Kg7 44.Kc5 Kf6
- +/- (0.78): 14.Kh1 h5 15.Bd2 fxe4 16.fxe4 Nf6 17.a4 Ng4 18.h3 Nh6 19.Qe1 Bd7 20.Rg1 Nf7 21.Be3 g5 22.Bf1 h4 23.Be2 a6 24.Rf1 Rb8 25.Rb1 Qf6 26.b5 dxc5 27.Bxc5 Rfc8 28.Ne3 Bf8 29.Bxf8 Rxf8 30.Bg4 Bxg4 31.Nxg4 Qe7 32.bxa6 bxa6 33.Qf2 Nd6 34.Qa7 Ra8 35.Qc5 Qg7 36.Qc6 Nh5 37.Rxf8+ Rxf8 38.Qxa6 Ng3+ 39.Kh2 Ndxe4 40.Nxe4 Nxe4
I will test out the novelty 14.a4 (never played in this position before) and see if Stockfish 11 playing White wins against itself with depth 50+ for each move. I am curious to see how strong Black's kingside attack really is, keeping in mind the answers given so far that suggest there can be a strong attack there for Black.