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VOL. 7 | 2006 Flux Conjecture on Symplectic Submanifolds
Yong Seung Cho, Myung Im Lim

Editor(s) Ivaïlo M. Mladenov, Manuel de León

## Abstract

Let $(M, \omega)$ be a closed symplectic $2n$-dimensional manifold. According to the well-known result by Donaldson [5] there exist $2m$-dimensional symplectic submanifolds $(V^{2m}, \omega)$ of $(M, \omega), 1 \leq m \leq n - 1$, with $(m − 1)$-equivalent inclusions. In this paper, we have found a relation between the flux group and the kernel of the Lefschetz map. We have present also some properties of the flux groups for all symplectic $2m$-submanifolds $(V^{2m}, \omega)$ where $2 \leq m \leq n - 1$.

## Information

Published: 1 January 2006
First available in Project Euclid: 13 July 2015

zbMATH: 1099.53056
MathSciNet: MR2228365

Digital Object Identifier: 10.7546/giq-7-2006-89-97