2 papers
math.CT2026
Extended heart construction (I): The heart of -cotorsion pairs on triangulated categories
Nao Mochizuki, Hiroyuki Nakaoka, Yasuaki Ogawa
The heart of a -structure and the ideal quotient by a cluster tilting subcategory are classical constructions that produce abelian categories from triangulated categories. Their…
math.CT2026
Higher exact dg-categories
Nao Mochizuki, Hiroyuki Nakaoka
We introduce the notion of an -exact dg-category. This notion provides a higher analogue of Chen's exact dg-category, in the sense that the case where equals 1 recovers exac…