Infinite not contact isotopic embeddings in (S2n-1,ξstd)$(S∧{2n-1},\xi _{\rm {std}})$ for n>4$n\geqslant 4$

被引：1

作者：

Zhou, Zhengyi ^{[1
,2
]}

机构：

[1] Chinese Acad Sci, Morningside Ctr Math, Beijing, Peoples R China

[2] Chinese Acad Sci, Inst Math, AMSS, Beijing, Peoples R China

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2023年 / 55卷 / 01期

关键词：

FLOER HOMOLOGY; SYMPLECTIC HOMOLOGY;

D O I：

10.1112/blms.12717

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For n >= 4, we show that there are infinitely many formally contact isotopic embeddings of (ST*Sn-1,xi(std)) to (S2n-1,xi(std)) that are not contact isotopic. This resolves a conjecture of Casals and Etnyre (Geom. Funct. Anal. 30 (2020), no. 1, 1-33) except for the n=3 case. The argument does not appeal to the surgery formula of critical handle attachment for Floer theory/SFT.

引用

页码：149 / 155

页数：7

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Infinite not contact isotopic embeddings in (S2n-1,ξstd)$(S∧{2n-1},\xi _{\rm {std}})$ for n&gt;4$n\geqslant 4$

Infinite not contact isotopic embeddings in (S2n-1,ξstd)$(S∧{2n-1},\xi _{\rm {std}})$ for n>4$n\geqslant 4$