activity
20202026
most citedThe virtual K-theory of Quot schemes of surfaces

17 citations · 23 across the 8 of their papers we have counts for

collaborators

8 papers

math.AG2026

The geometry of Nekrasov's gauge origami theory

Noah Arbesfeld, Martijn Kool, Woonam Lim

Nekrasov's gauge origami theory provides a (complex) 4-dimensional generalization of the ADHM quiver and its moduli spaces of representations. We describe the origami moduli space…

math.AG2024

On the Chern filtration for the moduli of bundles on curves

Woonam Lim, Miguel Moreira, Weite Pi

We introduce and study the Chern filtration on the cohomology of the moduli of bundles on curves. This can be viewed as a natural cohomological invariant defined via tautological c…

math.AG2024

Virasoro constraints and representations for quiver moduli spaces

Woonam Lim, Miguel Moreira

We study the Virasoro constraints for moduli spaces of representations of quiver with relations by Joyce's vertex algebras. Using the framed Virasoro constraints, we construct a re…

math.AG2024

Cohomology rings of the moduli of one-dimensional sheaves on the projective plane

Yakov Kononov, Woonam Lim, Miguel Moreira +1

We initiate a systematic study on the cohomology rings of the moduli stack of semistable one-dimensional sheaves on the projective plane. We introduce a set of…

math.AG2023

Cohomological -dependence of ring structure for the moduli of one-dimensional sheaves on

Woonam Lim, Miguel Moreira, Weite Pi

We prove that the cohomology rings of the moduli space of one-dimensional sheaves on the projective plane are not isomorphic for general different choices of the Euler ch…

math.AG2022

Virasoro constraints on moduli of sheaves and vertex algebras

Arkadij Bojko, Woonam Lim, Miguel Moreira

In enumerative geometry, Virasoro constraints were first conjectured in Gromov-Witten theory with many new recent developments in the sheaf theoretic context. In this paper, we rep…

math.AG2020★ 17 cited

The virtual K-theory of Quot schemes of surfaces

Noah Arbesfeld, Drew Johnson, Woonam Lim +2

We study virtual invariants of Quot schemes parametrizing quotients of dimension at most 1 of the trivial sheaf of rank N on nonsingular projective surfaces. We conjecture that the…

math.AG2020★ 6 cited

Virtual -genera of Quot schemes on surfaces

Woonam Lim

This paper studies the virtual -genera of Grothendieck's Quot schemes on surfaces, thus refining the calculations of the virtual Euler characteristics by Oprea-Pandharipand…