Does Horatio love Hamlet, and is it more than just a brotherly love in Shakespeare's Hamlet?

There is certainly no textual suggestion of a sexual
relationship between Hamlet and Horatio.  They aren't even together in more than a
handful of scenes in the play.  Horatio's purpose in the play to serve as an example of
a loyal friend, to contrast with the disloyal friends of Rosencrantz and Guildenstern
who are really only with Hamlet at the King's command and for the hope of earning a
"king's remembrance" (reward) for finding out what is wrong with
Hamlet.

Horatio has been at Elsinore since King Hamlet's
funeral--coming to comfort a friend at the loss of his father.  He learns of the ghost
and takes it upon himself to tell his distressing news to Hamlet.  He is  a sounding
board for Hamlet' anger over the King's carousing. Horario is rightly justified in
warning Hamlet about the potential dangers of going off to talk with the ghost.  Horatio
shows his loyalty when he swears to Hamlet to keep secret everything that transpired the
night with the ghost.

We don't see Horatio again until the
middle of Act 3 when Hamlet asks Horatio to help him observe Claudius for signs of a
guilty reaction during the upcoming play.  Hamlet is again relying on the loyalty of a
friend.  He compliments Horatio for his balance of "blood and judgement," meaning that
he admires Horatio for his balance of emotion and
intelligence. 

In Act 4 Horatio is the recipient of a
letter from Hamlet telling him that he has escaped the boat to England and returned to
Denmark.  In Act 5 he meets up with Hamlet in the graveyard and they talk about all that
transpired on the boat.  He is there to again warn Hamlet about the potential danger of
this fencing match that Claudius is proposing.

In the final
scene of the play he devastated by the poisoning of Hamlet and says that he would like
to commit suicide, claiming to be more "antique Roman than a Dane."  He is alluding to
the noble suicides of Cassius and Brutus in the story of Julius Caesar.  Hamlet tells
him his must live on the explain the story of what happened here and why.  This is
exactly what Horatio does when Fortinbras arrives.  Horatio is the best kind of friend
Hamlet could have.