Moduli Spaces of Stable Polygons and Symplectic Structures on $\bar{M}_{0,n}$
| dc.creator | Hu, Yi | |
| dc.date | 1997-01-27 | |
| dc.date | 1998-08-28 | |
| dc.date.accessioned | 2026-07-07T09:02:52Z | |
| dc.date.available | 2026-07-07T09:02:52Z | |
| dc.description | In this paper, certain natural and elementary polygonal objects in Euclidean space, {\it the stable polygons}, are introduced, and the novel moduli spaces ${\bfmit M}_{{\bf r}, ε}$ of stable polygons are constructed as complex analytic spaces. Quite unexpectedly, these new moduli spaces are shown to be projective and isomorphic to the moduli space $\bar{\cM}_{0,n}$ of the Deligne-Mumford stable curves of genus 0. Further, built into the structures of stable polygons are some natural data leading toward to a family of (classes of) symplectic (Kähler) forms. To some degree, ${\bfmit M}_{{\bf r}, ε}$ may be considered as symplectic counterparts of $\bar{\cM}_{0,n}$ and Kapranov's Chow quotient construction of $\bar{\cM}_{0,n}$. All these together brings up a new tool to study the Kähler topology of $\bar{\cM}_{0,n}$. | |
| dc.description | Enlarged version, 7 figures added. 35 pages. To appear in Compositio Mathematica | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9701011 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9701011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148788 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.title | Moduli Spaces of Stable Polygons and Symplectic Structures on $\bar{M}_{0,n}$ | |
| dc.type | text |