Does the spell Dimensional Anchor stop the ability Shadow Jaunt from the Tome of Battle?
The spell dimensional anchor may or may not prevent a martial adept from using a maneuver like shadow jaunt
While the spell 4th-level Sor/Wiz spell dimensional anchor [abjur] (PH 221) lists some of the spells, spell-like abilities, and psionic abilities that it prevents, the spell also "completely blocks extradimensional travel," which all spells of the conjuration subschool teleportation employ to commit instantaneous transportation, the subschool's description saying, "Teleportation is instantaneous travel through the Astral Plane" (173).
The 2nd-level Shadow Hand maneuver shadow jaunt [special] (Tome of Battle 79) et al. are presented with the descriptor [teleportation], and the [descriptor] description, says, "Most of these descriptors have no game effect by themselves, but they govern how a maneuver interacts with other maneuvers, powers, spells, or abilities" (44).
So one reading is that because the spell dimensional anchor blocks extradimensional movement, and the [teleportation] descriptor indicates that the maneuvers are teleportation effects, the maneuvers shadow jaunt et al. are blocked by the spell dimensional anchor. Another reading says that because the spell dimensional anchor lists spells, spell-like abilities, and psionic abilities and shadow jaunt et al. aren't any of those and that because the teleportation descriptor is otherwise undefined in Tome of Battle and used, instead, throughout much of the game's remainder solely as an indicator that a spell or effect is part of that conjuration subschool, the shadow jaunt et al.'s descriptor in this context carries very little weight, the spell dimensional anchor being unable to prevent the maneuvers' use and likewise allowing teleporation into and within, for example, an area warded by the 6th-level Clr spell forbiddance (PH 232-3).
However—and whether this is unintentional or by design, we'll, again, likely never know—, Tome of Battle also says, "Unless the description of the specific maneuver or stance says otherwise, treat it as an extraordinary ability" (40), and shadow jaunt et al. do not say otherwise, making the maneuvers some of the few instantaneous transportation abilities that can be used in, for example, an area affected by the 6th-level Sor/Wiz spell antimagic field [abjur] (PH 200).
Dimensional anchor does this:
Any creature or object struck by the ray is covered with a shimmering emerald field that completely blocks extradimensional travel.
It goes on to describe examples of things that are extradimensional travel, including dimension door and teleport. Note that this list is not exclusive. It doesn't straight up define what extradimensional travel is, but there's evidence here and there.
For example, the description for spells from the Teleportation subschool says:
Teleportation is instantaneous travel through the Astral Plane. Anything that blocks astral travel also blocks teleportation.
And what tag does shadow jaunt have? [Teleportation]. Therefore, shadow jaunt goes through the Astral Plane, making it extradimensional, and blocked.
I don't have a tome of battle at hand but Dimension Anchor states:
"Any creature or object struck by the ray is covered with a shimmering emerald field that completely blocks extradimensional travel."
It lists some examples which are spells, but it should also block any other teleportation effect. This includes Shadow Jaunt
So yes, Shadow Jaunt is blocked by Dimensional Anchor
Dimensional Anchor reads:
A green ray springs from your outstretched hand. You must make a ranged touch attack to hit the target. Any creature or object struck by the ray is covered with a shimmering emerald field that completely blocks extradimensional travel. Forms of movement barred by a dimensional anchor include astral projection, blink, dimension door, ethereal jaunt, etherealness, gate, maze, plane shift, shadow walk, teleport, and similar spell-like or psionic abilities. The spell also prevents the use of a gate or teleportation circle for the duration of the spell.
A strict RAW reading notes that dimensional anchor does not list Extraordinary Abilities (which shadow jaunt is) and therefore shadow jaunt would not be subject to dimensional anchor (though it would not be unreasonable in my opinion to make dimensional anchor work against shadow jaunt).
The only correct answer is "It is up to the DM to decide"
There is a RAW reading, which clearly allows shadow jaunt through Dimensional Anchor
Dimensional anchor text
Forms of movement barred by a dimensional anchor include astral projection, blink, dimension door, ethereal jaunt, etherealness, gate, maze, plane shift, shadow walk, teleport, and similar spell-like or psionic abilities. The spell also prevents the use of a gate or teleportation circle for the duration of the spell.
From Tome of Battle
Maneuvers are extraordinary abilities unless noted in the maneuver's description.
So by RAW, dimensional anchor cannot stop shadow jaunt as Shadow Jaunt does not mention inter dimensional travel, and is not listed in the included "list of additional things stopped", it doesn't get stopped.
That being said, its not a far reach to assume that its SUPPOSED to be blocked by dimensional anchor, by Rules as Intended. It certainly fits the theme of things dimensional anchor stops, and it includes a "teleportation" description on the maneuver.
This is why Rule 0, the DM makes the rules, exists. Its the DMs job to clarify in the grey areas like this.
Personally, as a DM, I would allow them to use shadow jaunt, because honestly, its not going to be a game breaker 9/10 times.