Moduli of Open Stable Maps to a Homogeneous Space

Amitai Netser Zernik

Moduli of Open Stable Maps to a Homogeneous Space

Symplectic Geometry 2017-09-27 v2 Algebraic Geometry Differential Geometry

Authors: Amitai Netser Zernik

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.

Keywords

moduli space stable maps Lagrangian embedding homogeneous space orbifold with corners holomorphic discs symplectic geometry

Cite

@article{arxiv.1709.07402,
  title  = {Moduli of Open Stable Maps to a Homogeneous Space},
  author = {Amitai Netser Zernik},
  journal= {arXiv preprint arXiv:1709.07402},
  year   = {2017}
}

Comments

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

Moduli of Open Stable Maps to a Homogeneous Space

Abstract

Keywords

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