2 citations · 2 across the 9 of their papers we have counts for
9 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…
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…
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…
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…
Infinitely many monotone Lagrangian tori in higher projective spaces
Soham Chanda, Amanda Hirschi, Luya Wang
Vianna constructed infinitely many exotic Lagrangian tori in the complex projective plane. We lift these tori to higher-dimensional projective spaces and show that they remain non-…
Global Kuranishi charts and a product formula in symplectic Gromov-Witten theory
Amanda Hirschi, Mohan Swaminathan
We construct global Kuranishi charts for the moduli spaces of stable pseudoholomorphic maps to a closed symplectic manifold in all genera. This is used to prove a product formula f…
Lagrangian intersections and cuplength in generalised cohomology theories
Amanda Hirschi, Noah Porcelli
We find lower bounds on the number of intersection points between two relatively exact Hamiltonian isotopic Lagrangians. The bounds are given in terms of the cuplength of the Lagra…