Complex sentence: After the Incident at Honnō-ji in 1582 Fujitaka refused to join Akechi Mitsuhide for the Battle of Yamazaki despite the fact that his son, Hosokawa Tadaoki, was married to Akechi's daughter, Hosokawa Gracia.
Split into simpler sentences: After the Incident at Honnō-ji (1582), Fujitaka refused to join Akechi Mitsuhide. However, he did not join Akechi in battle at Yamazaki, despite the fact that his son, Hosokawa Tadaoki, was married to Akechi's daughter, Hosokawa Gracia.