Towards the C0 flux conjecture

被引：6
|
作者：
Buhovsky, Lev [1 ]
机构：
[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2014年 / 14卷 / 06期
关键词：
ARNOLD CONJECTURE; LAGRANGIAN INTERSECTIONS; SYMPLECTIC-MANIFOLDS; HOLOMORPHIC-CURVES; FLOER HOMOLOGY; DIFFEOMORPHISMS;
D O I：
10.2140/agt.2014.14.3493
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we generalise a result of Lalonde, McDuff and Polterovich concerning the C (0) flux conjecture, thus confirming the conjecture in new cases of symplectic manifolds. We also prove the continuity of the flux homomorphism on the space of smooth symplectic isotopies endowed with the C (0) topology, which implies the C (0) rigidity of Hamiltonian paths, conjectured by Seyfaddini.
引用
收藏
页码：3493 / 3508
页数：16
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