Common themes include the idea of morality. Batman has his strict moral code, while Harley Quinn's moral compass is a bit more...skewed. Their encounters in fanfiction often highlight this contrast. And there's the theme of Gotham itself. The city serves as a backdrop and sometimes almost a character, with its dark alleys and seedy underworld being the setting for their battles.
One great 'batman vs harley quinn fanfiction' is 'The Clash in Gotham'. It has an interesting take on their dynamic, with Harley using her wits in unexpected ways against Batman. Another is 'Harley's Gambit' where she sets up a series of elaborate traps for Batman that really test his detective skills.
Well, perhaps in the fanfic, Harley Quinn has kidnapped someone important, like a scientist who was working on a new technology that could be dangerous in the wrong hands. Batgirl hears about it and goes to confront Harley. There's a series of battles where Harley uses her acrobatic skills and her signature mallet, while Batgirl uses her gadgets and martial arts. In the end, Batgirl manages to rescue the hostage and send Harley back to Arkham Asylum.
It depends on how the writer wants to portray it. But generally, Batgirl has a good chance of winning. She has extensive combat training and is highly intelligent. She can analyze Harley's moves and come up with counter - strategies quickly.
I don't have the precise release date of Jinx as a manhwa at hand. You might want to check reliable manga or manhwa databases for accurate information.
The update schedule for the Jinx manga can vary. You might want to check the official website or social media channels of the publisher for the most accurate and up-to-date information.