6 papers
Symplectomorphism invariance of the wrapped Fukaya category
Mingyuan Hu, Vivek Shende
An exact symplectomorphism of finite type Liouville manifolds is called 'strict' if it has bounded primitive; such symplectomorphisms are well known to induce deformation equivalen…
A proper dg algebra which does not cogenerate
Mingyuan Hu, Vivek Shende, Dinglong Wang
Keller's strong form of the homological conjectures asserts: any finite dimensional algebra cogenerates its unbounded derived category of modules. Here we record an example of a (c…
Mirror Counts of Spectral Curves
Tom Graber, Mingyuan Hu, Eric Zaslow
Given a convex lattice polygon , let be the count of rational, nodal curves in the linear system of the ample line bundle on the toric variety $\m…
Mirror symmetry for the Painlevé character varieties
Joël Beimler, Mingyuan Hu, William Olsen +1
We establish a homological mirror theorem for the 4-manifolds arising as moduli of (irregular) rank two local systems on the projective line. Specifically, we prove that the Fukaya…
A Proof of the Pentagon Relation for Skeins
Mingyuan Hu
In \cite{HSZ23}, with Gus Schrader and Eric Zaslow we developed a skein-theoretic version of cluster theory, and made a conjecture on the pentagon relation for the skein dilogarith…
Skeins, clusters and wavefunctions
Mingyuan Hu, Gus Schrader, Eric Zaslow
In previous work of the second- and third-named authors with Linhui Shen, cluster theory was used to construct wavefunctions for branes in threespace and conjecturally relate them…