On the Hofer-Zehnder conjecture on weighted projective spaces

被引：0
|
作者：
Allais, Simon [1 ]
机构：
[1] Univ Paris, IMJ PRG, 8 Pl Aurelie Nemours, F-75013 Paris, France
来源：
COMPOSITIO MATHEMATICA | 2023年 / 159卷 / 01期
关键词：
generating functions; Hamiltonian; periodic points; symplectic orbifold; weighted projective space; Hofer-Zehnder conjecture; barcodes; persistence modules; FIXED-POINT THEOREM; HAMILTONIAN EQUATIONS; SUBHARMONIC SOLUTIONS; PERIODIC-ORBITS; GEOMETRY;
D O I：
10.1112/S0010437X22007825
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove an extension of the homology version of the Hofer-Zehnder conjecture proved by Shelukhin to the weighted projective spaces which are symplectic orbifolds. In particular, we prove that if the number of fixed points counted with their isotropy order as multiplicity of a non-degenerate Hamiltonian diffeomorphism of such a space is larger than the minimum number possible, then there are infinitely many periodic points.
引用
收藏
页码：87 / 108
页数：23
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