9 papers
On the decomposition theorem for forgetful maps between moduli spaces of stable pointed curves
Hao Zhang
We study in this note the decomposition theorem for forgetful maps between moduli spaces of genus stable pointed curves $\overline{\mathcal{M}}_{g,m}\to \overline{\mathcal{M}}_…
Local forms for the double quiver
Hao Zhang
This paper studies the noncommutative singularity theory of the double quiver (with a single loop at each vertex), with applications to algebraic geometry and represent…
Gopakumar-Vafa invariants associated to singularities
Hao Zhang
This paper describes Gopakumar-Vafa (GV) invariants associated to singularities. We (1) generalize GV invariants to crepant partial resolutions of singularities, (2)…
Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials
Cyril Closset, Wei Gu, Osama Khlaif +3
We construct new half-BPS line defects in 3d supersymmetric quiver gauge theories whose Higgs branches are complete flag manifolds . Upon circle co…
Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials
Cyril Closset, Wei Gu, Osama Khlaif +3
We construct Schubert line defects in the 3d supersymmetric gauged linear sigma model (GLSM) with target space a partial flag manifold $X={\rm Fl}({\boldsymbol{k}};…
A Nakayama result for the quantum K theory of homogeneous spaces
Wei Gu, Leonardo C. Mihalcea, Eric Sharpe +3
We prove that the ideal of relations in the (equivariant) quantum K ring of a homogeneous space is generated by quantizations of each of the generators of the ideal in the classica…