Every Symplectic Toric Orbifold is a Centered Reduction of a Cartesian Product of Weighted Projective Spaces

被引：3

作者：

Marinkovic, Aleksandra ^{[1
]}

Pabiniak, Milena ^{[1
]}

机构：

[1] Inst Super Tecn, Ctr Anal Matemat Geometria & Sistemas Dinam, P-1049001 Lisbon, Portugal

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2015年 / 2015卷 / 23期

关键词：

FLOER COHOMOLOGY; GROMOV WIDTH; CONVEXITY; MANIFOLDS;

D O I：

10.1093/imrn/rnv066

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every symplectic toric orbifold is a centered reduction of a Cartesian product of weighted projective spaces. A theorem of Abreu and Macarini shows that if the level set of the reduction passes through a non-displaceable set then the image of this set in the reduced space is also non-displaceable. Using this result, we show that every symplectic toric orbifold contains a non-displaceable fiber and we identify this fiber.

引用

页码：12432 / 12458

页数：27