There is the common thought that left-handed players have an advantage over right-handed on the Tour. One could think because the left-handed players are a minority on the Tour they are harder for right-handed players to apdapt to and, on the other hand, can adapt to the right-handed players more easily.
I've done an investigation on all matches played between 1991 and 1998 to confirm/disprove this theory.

1. Match record

Among the approx. 27,000 matches contained in my database, there were 7842 matches between right- and lefthanded players. Out of these matches, 3901 (49.74%) were won by the righties, 3941 (50.26%) were won by the lefties.
So the match record is almost balanced.

2. Relative data

Out of 468 righties, who have played at least 5 matches versus lefties,
225 (48%) have a negative match record against lefties,
210 (45%) have a positive match record against lefties,
 33  (7%) have a balanced match record against lefties.

Out of 115 lefties, who have played at least 5 matches versus righties,
48 (42%) have a negative match record against righties,
56 (49%) have a positive match record against righties,
11  (9%) have a balanced match record against righties.

Out of 468 righties, who have played at least 5 matches versus each lefties and righties,
242 (52%) have a better match record against lefties than against righties,
222 (47%) have a better match record against righties than against lefties.

Out of 76 lefties, who have played at least 5 matches versus each lefties and righties,
41 (54%) have a better match record against lefties than against righties,
35 (46%) have a better match record against righties than against lefties.

3. Result

The data shown above do not allow a clear statement to be formed. It cannot be significantly confirmed that lefties have an edge over righties.