Li Fan

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20242026

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math.RT2026

Topological Models for Categories Associated with the Weighted Projective Lines of Type $(2, 2, 2, 2)$

Jianmin Chen, Li Fan, Yu Qiu +1

We construct a geometric model for the derived category of the weighted projective line $CP_{ω}^{1}$ of type $(2, 2, 2, 2)$ 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…

Topological Models for Categories Associated with the Weighted Projective Lines of Type (2,2,2,2)

Categorical realization of collapsing subsurfaces and perverse schobers

Topological Models for Categories Associated with the Weighted Projective Lines of Type $(2, 2, 2, 2)$