5 papers · 1 filter
A Murphy's law for supports of 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}}_…
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…
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)…
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…
Quantum K Whitney relations for partial flag varieties
Wei Gu, Leonardo C. Mihalcea, Eric Sharpe +3
In a recent paper, we stated conjectural presentations for the equivariant quantum K ring of partial flag varieties, motivated by physics considerations. In this companion paper, w…