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 2020Show all

3 papers · 1 filter

math.AG2020★ 17 cited

Cohomological $χ$ -independence for moduli of one-dimensional sheaves and moduli of Higgs bundles

Davesh Maulik, Junliang Shen

We prove that the intersection cohomology (together with the perverse and the Hodge filtrations) for the moduli space of one-dimensional semistable sheaves supported in an ample cu…

math.AG2020★ 3 cited

Endoscopic decompositions and the Hausel-Thaddeus conjecture

Davesh Maulik, Junliang Shen

We construct natural operators connecting the cohomology of the moduli spaces of stable Higgs bundles with different ranks and genera which, after numerical specialization, recover…

math.AG2020★ 9 cited

On the P=W conjecture for $SL_{n}$

Mark Andrea A. de Cataldo, Davesh Maulik, Junliang Shen

Let $p$ be a prime number. We prove that the $P = W$ conjecture for $SL_{p}$ is equivalent to the $P = W$ conjecture for $GL_{p}$ . As a consequence, we verify the $P = W$ c…

Cohomological χ-independence for moduli of one-dimensional sheaves and moduli of Higgs bundles

Endoscopic decompositions and the Hausel-Thaddeus conjecture

On the P=W conjecture for SLn​

Cohomological $χ$ -independence for moduli of one-dimensional sheaves and moduli of Higgs bundles

On the P=W conjecture for $SL_{n}$