Junliang Shen

activity

20132023

most citedHitchin fibrations, abelian surfaces, and the P=W conjecture

20 citations · 138 across the 26 of their papers we have counts for

collaborators

Showing 2022 · math.AGShow all

4 papers · 2 filters

math.AG2022

Perverse filtrations, Chern filtrations, and refined BPS invariants for local $P^{2}$

Yakov Kononov, Weite Pi, Junliang Shen

We explore connections between three structures associated with the cohomology of the moduli of 1-dimensional stable sheaves on $P^{2}$ : perverse filtrations, tautological c…

math.AG2022★ 1 cited

The $P = W$ conjecture for $GL_{n}$

Davesh Maulik, Junliang Shen

We prove the $P = W$ conjecture for $GL_{n}$ for all ranks $n$ and curves of arbitrary genus $g \geq 2$ . The proof combines a strong perversity result on tautological classes w…

math.AG2022

Generators for the cohomology ring of the moduli of one-dimensional sheaves on $P^{2}$

Weite Pi, Junliang Shen

We explore the structure of the cohomology ring of the moduli space of stable 1-dimensional sheaves on $P^{2}$ of any degree. We obtain a minimal set of tautological generat…

math.AG2022★ 1 cited

Perverse-Hodge complexes for Lagrangian fibrations

Junliang Shen, Qizheng Yin

Perverse-Hodge complexes are objects in the derived category of coherent sheaves obtained from Hodge modules associated with Saito's decomposition theorem. We study perverse-Hodge…

Perverse filtrations, Chern filtrations, and refined BPS invariants for local P2

The P=W conjecture for GLn​

Generators for the cohomology ring of the moduli of one-dimensional sheaves on P2

Perverse-Hodge complexes for Lagrangian fibrations

Perverse filtrations, Chern filtrations, and refined BPS invariants for local $P^{2}$

The $P = W$ conjecture for $GL_{n}$

Generators for the cohomology ring of the moduli of one-dimensional sheaves on $P^{2}$