2 citations · 5 across the 7 of their papers we have counts for
7 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…
On the quantum differential equations for a family of non-Kähler monotone symplectic manifolds
Kai Hugtenburg
In this paper we prove Gamma Conjecture for twistor bundles of hyperbolic manifolds, which are monotone symplectic manifolds which admit no Kähler structure. The proof invo…
Examples of relative quantum cohomology
Kai Hugtenburg, Sara B. Tukachinsky
We compute the quantum cohomology relative to a Lagrangian submanifold in some complete intersections. For quadric hypersurfaces, we also give a full computation of the genus zero…
Open Gromov-Witten invariants from the Fukaya category
Kai Hugtenburg
This paper proposes a framework to show that the Fukaya category of a symplectic manifold determines the open Gromov-Witten invariants of Lagrangians . We associat…
The cyclic open-closed map, u-connections and R-matrices
Kai Hugtenburg
This paper considers the (negative) cyclic open-closed map , which maps the cyclic homology of the Fukaya category of a symplectic manifold to its -equivaria…