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math.RT2026
Topological Models for Categories Associated with the Weighted Projective Lines of Type
Jianmin Chen, Li Fan, Yu Qiu +1
We construct a geometric model for the derived category of the weighted projective line of type using a graded sphere with four binaries. More precise…
math.RT2025
Categorical realization of collapsing subsurfaces and perverse schobers
Li Fan, Suiqi Lu
We study the categorification of collapsed Riemann surfaces with quadratic differentials allowing arbitrary order zeros and poles via the Verdier quotient. We establish an isomorph…
math.RT2025
Dg enhanced orbit categories and applications
Li Fan, Bernhard Keller, Yu Qiu
Our aim in this paper is to prove two results related to the three constructions of cluster categories: as orbit categories, as singularity categories and as cosingularity categori…