Hyperion Cantos - 3
The Hyperion Cantos series of novels by <PERSON> feature multiple forms of FTL travel used by human society, the mechanism of which is central to the plot of the books.
Here's a spoiler-free summary of the relevant technologies:
1. The Hawking Drive: This drive allows ships to move faster than the speed of light by slipping into a different type of space which allows FTL travel. However, the time it takes to get from point A to point B still effects the duration of the flight, and causes a "time debt" to the travelers due to time dilation. In Hawking Space, the time dilation is vastly reduced compared to what the travelers would experience in Real Space, but it can still add up to weeks, months, or even years for interstellar travel.
2. Farcasters: These devices are powered by orbiting singularities and capable of opening gateways to farcasters anywhere else in the universe, providing instantaneous travel to those locations with no time debt. 947
Larger, orbital farcasters are used to allow ships to traverse a web of interconnected worlds.
3. The Gideon Drive: This drive appears in the second book of the series, and allows an equipped ship to instantaneously travel to distant locations without incurring a time debt, similar to farcaster technology, though no corresponding device is required at the destination.
4. SPOILERs!
And now, the spoilers!
! There's a fourth method introduced at the end of the series which allows for instantaneous travel without a ship, or any technology at all, by allowing people to zip directly to a place for which they feel a strong emotional attachment. At the end of the series, it's implied that all humans can be capable of this, with the right frame of mind.
And a bit more about #3:
!The Gideon Drive is also invariably fatal to any organic life on an equipped ship. The jump to FTL speed instantly liquefies passengers, so only humans fitted with a specific resurrection technology can use a ship equipped with a Gideon Drive. This incurs a three-day downtime at the destination as the crew literally returns from the dead. 947