5 papers · 1 filter
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 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 topological classification of generating functions
Sylvain Courte, Vivek Shende
From a generating function for a Legendrian in a -jet bundle, we may extract the following topological information: (1) a trivialization of the stable Gauss map, (2) the sheaf o…
Topological algebra of symplectic geometry of symmetric powers
Vivek Shende, Peng Zhou
To a noncompact orientable surface with no closed boundary, we associate the sum of Fukaya categories of (Liouville sectors associated to) its symmetric powers. We construct sector…