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Obligation restricts mobility
Compiled by notyetagm
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In the cases given below it is the obligstion to block a line that restricts the movement of a piece to the set of squares from which it can block the line in question.

51 ... Qxf4+! White e3-queen obligated to block back rank on g1
Keres vs Petrosian, 1959 
(B39) Sicilian, Accelerated Fianchetto, Breyer Variation, 51 moves, 0-1

39 ... Rf7xf3?? 40 Qh6# Black f7-rook obligated to block on h7
Movsesian vs Predojevic, 2004 
(B43) Sicilian, Kan, 5.Nc3, 40 moves, 1-0

36 ... f3! none of White's three pieces actually defends f3
D Gurevich vs J Polgar, 2006 
(E99) King's Indian, Orthodox, Taimanov, 36 moves, 0-1

24 - Rxa3!! White b2-pawn, a1-rook, d3-queen do -not- defend a3
V Mikenas vs Bronstein, 1965 
(A53) Old Indian, 24 moves, 0-1

Black e6-bishop tied to a2-g8 diagonal: 21 Bxf5!, 21 Rd7+!!
V Gashimov vs E Inarkiev, 2005 
(B90) Sicilian, Najdorf, 45 moves, 1-0

21 ... axb2! restricts mobility of White c3-N or d1-R to b1
A Dunkelblum vs Keres, 1937 
(A46) Queen's Pawn Game, 22 moves, 0-1

24 Re1-e5! the Black d6-bishop cannot leave the a3-f8 diagonal
Kasparov vs Timman, 1994 
(C42) Petrov Defense, 30 moves, 1-0

White g3-queen must pin on g-file so f4-bishop is undefended
Geller vs Tal, 1959 
(A71) Benoni, Classical, 8.Bg5, 42 moves, 0-1

87 f4-f5! Black e6-pawn defends Black d5-bishop not f5-square
Radjabov vs Anand, 2008 
(D44) Queen's Gambit Declined Semi-Slav, 85 moves, 1-0

16 c5-c6 Black b7-queen cannot defend c6-square, Black e7-pawn
Carlsen vs Eljanov, 2008 
(D91) Grunfeld, 5.Bg5, 54 moves, 1-0

27 ... Nd1-f2! White e1-queen defends e5-bishop, not f2-square
Smeets vs Y Hou, 2008 
(C13) French, 58 moves, 0-1

34 Be2-b5! Black e8-queen must defend the loose Black e5-knight
Short vs I Cheparinov, 2008 
(B92) Sicilian, Najdorf, Opocensky Variation, 72 moves, 1-0

73 Rc6-c1! Black b1-rook is restricted to b-file else b7-b8=Q
Carlsen vs Shirov, 2008 
(C78) Ruy Lopez, 80 moves, 1-0

39 ... Nd5-f4! since White e4-queen must defend White c2-bishop
Nunn vs Seirawan, 1992 
(B12) Caro-Kann Defense, 51 moves, 0-1

42 ... Rb6-c6! White c3-queen cannot leave 3rd rank else mate
Gelfand vs Karjakin, 2008 
(A07) King's Indian Attack, 46 moves, 0-1

31 .. Rc8-c3! White d4-bishop controls squares only along a7-g1
Mamedyarov vs Anand, 2008 
(B20) Sicilian, 42 moves, 0-1

71 Ne6-c5!, 72 Nc5-d7! exploit overworked Black defenders
Mamedyarov vs Bacrot, 2008 
(D15) Queen's Gambit Declined Slav, 73 moves, 1-0

61 Nd5-b6! Black c6-rook,a7-pawn must meet other threats
S Volkov vs Y Hou, 2008 
(E20) Nimzo-Indian, 61 moves, 1-0

20 Qc4-c7!! Black c8-rook,d7-queen tied to mate threat to e8-sq
E Z Adams vs Torre, 1920 
(C41) Philidor Defense, 23 moves, 1-0

19 games

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