6 papers
Open Gromov-Witten invariants in genus zero and Lagrangian cobordisms
Amanda Hirschi, Kai Hugtenburg
We construct open Gromov-Witten invariants in genus zero for arbitrary closed symplectic manifolds and embedded relatively spin Lagrangians, which are weakly unobstructed by a boun…
Open-closed Deligne-Mumford field theories: construction
Amanda Hirschi, Kai Hugtenburg
Open-closed Deligne--Mumford field theories are chain-level field theories based on moduli spaces of stable curves with boundary. We associate to a relatively spin embedded Lagrang…
Open-closed Deligne-Mumford field theories: geometric foundations
Amanda Hirschi, Kai Hugtenburg
We construct global Kuranishi charts for moduli spaces of pseudo-holomorphic maps of arbitrary genus with boundary on an embedded Lagrangian submanifold. We then build the geometri…
Properties of Gromov-Witten invariants defined via global Kuranishi charts
Amanda Hirschi
Using the global Kuranishi charts constructed in \cite{HS22}, we define gravitational descendants and equivariant Gromov-Witten invariants for general symplectic manifolds. We prov…
A contact homotopy type
Soham Chanda, Amanda Hirschi
Adapting the construction of global Kuranishi charts to the contact setting, we associate to any non-degenerate contact manifold a flow category based on Reeb orbits and moduli spa…
On Donaldson's 4-6 question
Amanda Hirschi, Luya Wang
We prove that the examples by Smith and McMullen-Taubes provide infinitely many counterexamples to one direction of Donaldson's 4-6 question and the closely related Stabilising Con…