Topalov is a very strong Grandmaster from Bulgaria. He has been the highest rated player in the world. In 2006 he played a match for the world championship against Kramnik, but lost. He became very unpopular when he came close to accusing Kramnik of cheating during (and after) the match. He is a very aggressive player who always seems to seek complications, often appearing to disregard positional considerations. He makes good use of psychological factors during play; for example sometimes playing his opponenets' pet lines against them. Topalov is quite difficult to understand as a player; his decisions at the board can be slightly erratic and tend to somewhat randomize his results.

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Here's a game between Karpov and Topalov from a while ago.

Karpov,A-Topalov,V 1994

1.d4 Nf6
2.c4 c5
3.Nf3 cxd4
4.Nxd4 e6
5.g3 Nc6
6.Bg2 Bc5
7.Nb3 Be7
8.Nc3 O-O
9.O-O d6
10.Bf4 Nh5
11.e3 Nxf4
12.exf4 Bd7
13.Qd2 Qb8
14.Rfe1 g6
15.h4 a6
16.h5 b5
17.hxg6 hxg6
18.Nc5 dxc5
19.Qxd7 Rc8
20.Rxe6 Re7
21.Rxg6+ fxg6
22.Qe6+ Kg7
23.Bxc6 Rd8
24.cxb5 Bf6
25.Ne4 Bd4
26.bxa6 Qb6
27.Rd1 Qxa6
28.Rxd4 Rxd4
29.Qf6+ Kg8
30.Qxg6+ Kf8
31.Qe8+ Kg7
32.Qe5+ Kg8
33.Nf6+ Kf7
34.Be8+ Kf8
35.Qxc5+ Qd6
36.Qxa7 Qxf6
37.Bh5 Rd2
38.b3 Rb2
39.Kg2
1-0

Game source: Chesslab - a fantastic online resource.