Moduli of Open Stable Maps to a Homogeneous Space

Abstract

For $L\hookrightarrow X$ a Lagrangian embedding associated with a real homogeneous space, we construct the moduli space of stable holomorphic discs mapping to $(X,L)$ as an orbifold with corners equipped with a group action. Some essential constructions involving orbifolds with corners are also discussed, including the existence of fibered products and pushforward and pullback of differential forms with values in a local system.

Definition of "horizontally submersive" replaced by an equivalent one (cf. Lemma 20). Other minor corrections and edits inserted

References in corpus (2)

• Topological and Smooth Stacks
• The moduli space of regular stable maps

Cited by in corpus (2)

• Equivariant Open Gromov-Witten Theory of $\mathbb{R}{\mathbb{P}}^{2m}\hookrightarrow \mathbb{C}{\mathbb{P}}^{2m}$
• Open r-spin theory I: Foundations