The Digimon Xros Wars manga is the third major serialized Digimon manga, running in V-Jump from June 2010 to March 2012, concurrently with the anime series of the same name. It's a relatively loose adaptation of the anime, so while the basic plot remains the same - Taiki Kudo is drawn into the Digital World and leads the Xros Heart army to liberate it from Bagramon's empire - there are numerous significant deviations in the plotline setting it up as a standalone work separate from Xros Wars itself.
Tropes present in the Digimon Xros Wars manga:
Adaptation Distillation: Because the manga is slower it does away with many characters and plot points, such as the Death Generals and the D5 event.
Ascended Extra: The manga specifically develops the roles of the characters Demoted to Extra in the anime series. For example Zenjirou and Akari (alongside Kotone) get their own Xros Loaders and use them to great effect, Lilithmon is always a credible threat, Blastmon took several levels in Badass, etc.
Continuity Snarl: The manga makes repeated references to past series and manga, hinting that they all share the same reality. For example, it's shown that in this 'verse, Bagramon bore witness to the final battle of Digimon Savers.
A Cosmic Retcon is used to try and explain things away but it only manages to manages to cover a few of the issues with the digital world, leaving some gaping plot holes unfilled.
Eyes Do Not Belong There: Every single time Shademon appears Most impressive example so far is they way it gave several eyes...to DarkKnightmon's eyeballs, beating out having Nene scantily clad in eyes and a shadow.
In this version Nene and Sparrowmon were the ones who took down Neptunemon in the Island Zone, the only thing shown is the aftermatch with he and his troops all laying on the floor beaten up and badly wounded. Also works as a Establishing Character Moment for Sparrowmon.
A few zone conquests also happened offscreen. After acquiring the Snow Zone's Code Crown it is said Xros Heart managed to conquer a total of three more zones offscreen and it is mentioned the last one, the manga exclusive River Zone, was a cake walk.
Palette Swap: In the story itself this trope actually manages to throw off the Royal Knights.
Sanity Slippage: DarkKnightmon suffers from this gradually but completely. It's also part of the reason for Bagramon's tears.
Shapeshifting: In chapter twelve, the main Digimon of Xros Heart are forced to take on human forms after being sent into the human world. While Shoutmon, Dorulumon, Cutemon, Ballistamon, Tailmon, and Wizardmon take on human forms, Starmon, the Pickmons, and Monimon take the form of a duck, some ducklings, and a capybara, respectively.
Stable Time Loop: The Bonus Track chapter shows that after seemingly being killed, Wizarmon was sent back in time, and he gave his remaining Xros Loader to Taiki back in first chapter, which, of course, led to Wizarmon creating Xros Loaders after using Taiki's as a base.
Stripperiffic: Shademon Darkness Mode AKA NeneShademon, which amounts to a few wisps of darkness surrounding Nene and covering what needs to be covered, barely. Luminamon is the same, but with angelic wings.
Thanks to a certain wizard, not anymore since chapter 17.
Theme Tune Cameo: Oddly for a manga, this trope is present throughout the manga during climactic showdowns. In the finale, Shoutmon's has a concert where he gives the story closure by singing Xros Wars's opening Never Give Upand Adventure's opening Butter~fly.
Time Travel: Chapter 13 reveals that Taiki and his friends arrived in the Digital World two months earlier, as the strange events in the first chapter were actually the result of Bagramon enacting his plan.