Locally conformal symplectic blow-ups

2016/08/01 by Song Yang, Yang, Song, Xiangdong Yang +3
Mathematics · #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1608.00484

openalex publication_date 2016/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the blow-up of a locally conformal symplectic manifold.We show that there exists a locally conformal symplectic structure on the blow-up of a locally conformal symplectic manifold along a compact induced symplectic submanifold.

Related

• Locally conformally symplectic reduction
• Locally conformally symplectic reduction of the cotangent bundle
• Darboux-Weinstein theorem for locally conformally symplectic manifolds
• Blowing-up points on l.c. K. manifolds
• Products of locally conformal symplectic manifolds