NSF PAR Search | NSF Public Access Repository

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

Perverse filtrations and Fourier transforms

https://doi.org/10.4310/ACTA

Maulik, Davesh; Shen, Junliang; Yin, Qizheng (March 2025, Acta Mathematica)

Free, publicly-accessible full text available March 11, 2026
The $P=W$ conjecture for $$\mathrm{GL}_n$$

https://doi.org/10.4007/annals.2024.200.2.3

Maulik, Davesh; Shen, Junliang (August 2024, Annals of Mathematics)

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

https://doi.org/10.1016/j.aim.2023.109294

Kononov, Yakov; Pi, Weite; Shen, Junliang (November 2023, Advances in Mathematics)

Full Text Available
Perverse-Hodge complexes for Lagrangian fibrations

https://doi.org/10.46298/epiga.2023.9617

Shen, Junliang; Yin, Qizheng (August 2023, Épijournal de Géométrie Algébrique)

Perverse-Hodge complexes are objects in the derived category of coherentsheaves obtained from Hodge modules associated with Saito's decompositiontheorem. We study perverse-Hodge complexes for Lagrangian fibrations andpropose a symmetry between them. This conjectural symmetry categorifies the"Perverse = Hodge" identity of the authors and specializes to Matsushita'stheorem on the higher direct images of the structure sheaf. We verify ourconjecture in several cases by making connections with variations of Hodgestructures, Hilbert schemes, and Looijenga-Lunts-Verbitsky Lie algebras.
more » « less
Full Text Available
Generators for the cohomology ring of the moduli of 1-dimensional sheaves on $$\mathbb{P}^2$$

https://doi.org/10.14231/AG-2023-017

Pi, Weite; Shen, Junliang (July 2023, Algebraic Geometry)

Full Text Available
Cohomological χ–independence for moduli ofone-dimensional sheaves and moduli of Higgs bundles

https://doi.org/10.2140/gt.2023.27.1539

Maulik, Davesh; Shen, Junliang (January 2023, Geometry & Topology)

Full Text Available
On the intersection cohomology of the moduli of SLn$$\mathrm{SL}_n$$‐Higgs bundles on a curve

https://doi.org/10.1112/topo.12250

Maulik, Davesh; Shen, Junliang (September 2022, Journal of Topology)

Full Text Available
On the P = W conjecture for $$SL_n$$

https://doi.org/10.1007/s00029-022-00803-0

de Cataldo, Mark Andrea; Maulik, Davesh; Shen, Junliang (November 2022, Selecta Mathematica)

Full Text Available
On intersection cohomology and Lagrangian fibrations of irreducible symplectic varieties

https://doi.org/10.1090/tran/8592

Felisetti, Camilla; Shen, Junliang; Yin, Qizheng (April 2022, Transactions of the American Mathematical Society)

Full Text Available
Topology of Lagrangian fibrations and Hodge theory of hyper-Kähler manifolds

https://doi.org/10.1215/00127094-2021-0010

Shen, Junliang; Yin, Qizheng (January 2022, Duke Mathematical Journal)

Full Text Available

« Prev Next »

Search for: All records