Dracule "Hawk-Eyes" Mihawk

"One by one, he turns the people around him into his allies. More than anyone else sailing the seas... That man possesses the most terrifying power."

- Hawk-Eyes about Luffy during the Battle of Marineford. "It's still too early for you to die. My name is Dracule Mihawk! Discover your true self, the true world, become stronger! However long it may take, I shall await you at the top. Surpass this sword! Surpass me! Roronoa Zoro!!!"

- Mihawk's challenge to Zoro.

Dracule "Hawk-Eyes" Mihawkundefinedis a member of the Shichibukai and the current holder of the title, "Greatest Swordsman in the World". Mihawk served as Roronoa Zoro's swordsmanship teacher during the two-year timeskip.

Much of Mihawk's past remains a mystery. However, he once saw a strong rival in Shanks. Their battles were said to shake the whole of the Grand Line and Mihawk often sought Shanks out for duels. After Shanks lost his arm ten years before the story, Mihawk ceased seeking him out for duels. At some point Mihawk earned the title of "World's Greatest Swordsman" as well as joined the ranks of the Shichibukai. He was among those present at Gol D. Roger's execution. He also made the castle of Kuraigana Island his home.

Mihawk had been responsible for single-handedly destroying Don Krieg's entire fleet, excluding Krieg's flagship, during his failed attempt at entering and conquering the Grand Line.undefinedThe destruction of Krieg's fleet drove the pirate from the Grand Line. He then followed Don Krieg to East Blue, to the Baratie and destroyed their flagship.

While at the Baratie, he encountered the Straw Hat Pirates, and Zoro immediately challenged him. Mihawk was able to block all three of Zoro's swords with the tip of his necklace blade, finally stabbing him in the chest with it. Mihawk was so impressed by Zoro's spirit, however, that he granted him a face-off against the Black Sword. Zoro then performed his strongest technique, Sanzen Sekkai, but Mihawk completely overpowered it and shattered two of his three swords in the process (all but the Wado Ichimonji). Zoro, admitting his total defeat, allowed himself to be cut down by Mihawk face-to-face, like a true swordsman. Mihawk accepted this offer and cleaved open a massive diagonal cut across Zoro's entire chest, but held back just enough to allow Zoro to live.undefinedLuffy had already struck out at the Shichibukai unsuccessfully when Zoro tearfully called out to him, proclaiming that no matter what, he would never lose again. Afterwards, Mihawk told Zoro his full name, and gave him a challenge.

After hearing Zoro's goals and giving him a challenge, Mihawk asked Luffy what his goal was. When Luffy told Mihawk it was to be Pirate King, Mihawk told him that was even harder than surpassing him. With the events against Zoro over, Mihawk decided it's time he headed back to the Grand Line for a nap. Don Krieg took offense to the Shichibukai's attitude towards his men and launched an attack on him. Mihawk simply called out "You fool!" and in one final strike struck at Krieg's ship again, causing the already wrecked ship to fall further into pieces. When the dust cleared Mihawk was nowhere to be seen. Soon afterwards, Mihawk is seen visiting Shanks to bring news of Luffy's coming. When he reached the island where Shanks was, he encountered some members of the Red Hair Pirates. He asked them about their superior's whereabouts. He found Shanks and showed him Luffy’s first wanted poster. Shanks says that he can't let him leave and throws another party despite already being unwell from his previous drinking session.

He answered the call to the Shichibukai to battle Whitebeard and join the war, and is later shown dining with the other Shichibukai, except for Jinbe and Boa Hancock. When the execution of Portgas D. Ace begins, he is next seen standing alongside Bartholomew Kuma, Donquixote Doflamingo, Gekko Moriah and Boa Hancock, ready for the battle ahead. When Aokiji froze the two tsunamis that Whitebeard caused, Mihawk was one of the first Shichibukai to attack, wishing to measure his strength against Whitebeard. His attack, "Sekai Ichi no Zangeki" (the strongest slash in the world), was stopped by Jozu. Mihawk's attack didn't damage Jozu at all and it is unknown as whether or not Mihawk has an attack that could cut through diamond yet. He shows slight amusement upon Luffy's arrival at Marineford, remarking that the Straw Hat pirate never failed to make things interesting. When Sengoku reveals the fact that Dragon is Luffy's father, he only comments that such a revelation isn't really surprising. When Luffy manages to break through the line, Mihawk goes to meet him head on. He addresses an apology to Shanks, saying he won't hold back and wonders if fate will save Luffy from his black sword. Marco ordered Vista to take over the battle. As Luffy made his way to the execution platform once again, Mihawk concluded that Luffy's strange ability to make allies out of anyone is the most dangerous ability in the world.undefinedAfter the army of Pacifista appeared, Mihawk commented to Vista that it was time to finish their battle while the latter stated they both had a point in their favor.undefinedAfter Whitebeard got stabbed, Mihawk was the only one to ignore the event and didn't even gaze at him. He is later seen fighting in the Oriz Plaza after the pirates managed to get through the siege wall.

When Luffy and Ivankov try again to reach Ace, Mihawk again arrives to stop them, but he is stopped by Daz Bones, of whose name he is aware. Daz Bones is no match for him and is easily defeated, but Crocodile intervenes and engages in combat with Mihawk, telling him to watch out because he's in a bad mood. He is later seen standing alongside Gekko Moriah, seeing Whitebeard's dead, but still standing, body. After that he is seen leaving the battle with the arrival of Shanks, stating that he agreed to help in the war against Whitebeard, but fighting against Shanks was not part of the agreement.

After the battle, Mihawk shows up in the castle on Kuraigana Island. After reading about Moriah's presumed demise, Perona starts to cry. Mihawk, without any sympathy, tells Perona to go cry elsewhere. Perona then scolds Mihawk for his inhospitality. Mihawk responds by saying that Perona intruded into his house while he was gone. He also says that despite the newspaper's assertions about Moriah having died during the battle, he was alive during the whole big confrontation between the Whitebeard Pirates and the Marines. However, Mihawk cannot give Perona a definitive answer on whether or not Moriah is indeed alive and questions the validity of the newspaper. Mihawk is unaware of the fact that Doflamingo was ordered to kill Moriah. He's later seen in the ruins near the castle, watching Zoro's fight against the armed baboons roaming the island. He comments on how Zoro is still far away from the sea even though he was away from the castle for a long time. When Mihawk sees that the boat he provided to Zoro gets damaged, he comments that the boat is now useless, but Zoro brushes off that comment saying that he can just use part of the boat to help him swim to his destination. Mihawk then explains to Zoro the reasons behind the baboons' fighting style, and then asks him to return to the castle and leave the following morning, but Zoro refuses, saying that he needs to reach Luffy. Mihawk gives up, and allows him to do as he pleases. Zoro later comes back and asks Mihawk to train him. Mihawk tells Zoro to go, believing such an idea to be foolish. He tells him that he should be ashamed of himself, that seeing him come back crawling for help after losing to the baboons is just plain painful to watch and then closes the matter by telling him that he had been overestimating him, thus, that he will not be training him. However, Zoro answers Mihawk that he has already defeated them and that there's nothing left beside his head, but that he is not stupid enough to believe that he could win against him at this moment. In a rare moment of emotion, Mihawk starts laughing uncontrollably at the absurdity of his demand (training by his hand a swordsman who wants to kill him). However, he comprehends that Zoro isn't acting for his own benifice, and, that on the contrary, he found something much more important to him than his own life or dreams. Impressed by his resolve, which is to bear the mark of disgrace for his captain, despite the fact that he is a man who has a great sense of honor. Mihawk gives in and tells Perona to heal Zoro so they can begin his training, which takes place during the next two years.

(From the One Piece Wiki)