The Hollow Lands

In which we find Jherek Carnelian, one of the small population of hedonistic immortals remaining on earth at the end of time, still obsessively in love with Mrs. Amelia Underwood, a reluctant time-traveler from Victorian England. After narrowly escaping death in nineteenth-century London, Jherek again is separated from his love by several millenniums. And so he begins a new, headlong campaign - seesawing through space and time regardless of risk or consequence - to reunite himself with Mrs. Underwood.
This is volume II in a trilogy, The Dancers at the End of Time, of which An Alien Heat was the first. It is full of astounding antics and incredible characters. Another outstanding book by one of the most esteemed and prolific writers of science fiction.