I do not cross you; but I will do so Different editors interpret this statement differently:
1) Octavius denies that he has crossed (contradicted) Antony (though he has) and insists that he will do as he has said he would: go right, instead of left, as Antony told him to.
2) Octavius gives in to Antony and says that he will not cross him (move from left to right), but predicts that he will cross (encounter) him in the future. (This eventually happens; after the defeat of Brutus, Octavius defeats Antony in the struggle for control of Rome.)
In either case, Octavius, the future emperor of Rome, is displaying the force of his will.