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

共 50 条

[31] A Maiorana-McFarland type construction for resilient Boolean functions on n variables (n even) with nonlinearity >2n-1 -: 2n/2+2n/2-2
Maitra, S
Pasalic, E
DISCRETE APPLIED MATHEMATICS, 2006, 154 (02) : 357 - 369
[32] ELECTROCHEMICAL STUDIES OF SULFUR NITROGEN-COMPOUNDS .2. THE S4N- AND S3N- IONS, S7NH, 1,4-S6(NH)2, S4N4H4, AND 1,3-S4N2
CHIVERS, T
HOJO, M
INORGANIC CHEMISTRY, 1984, 23 (18) : 2738 - 2742
[33] GDD(ni,n, n + 1,4; Ai, A2): N = 1 or 2
Namyalo, Kasifa
Sarvate, Dinesh G.
Zhang, Li
Journal of Combinatorial Mathematics and Combinatorial Computing, 2019, 110 : 19 - 37
[34] DFT Study for the Thermodynamic Stability and Binding Energetics of SnOn, S(n)O(2)n, S(n)O(3)n (n = 1 similar to 4)
Kim, Si-Jo
Kim, Seung-Joon
JOURNAL OF THE KOREAN CHEMICAL SOCIETY-DAEHAN HWAHAK HOE JEE, 2009, 53 (05): : 512 - 520
[35] [Fe4S4Cl4-n（S2CNEt2）_n]2-（n=0,1,2,4）原子簇的电子结构研究
郭纯孝
徐吉庆
魏洤
高等学校化学学报, 1989, (01) : 56 - 61
[36] 形如1+((4n（n+1）s2)/（s2-1）)的平方数
管训贵
宁夏师范学院学报, 2011, 32 (03) : 97 - 98+107
[37] Tetrakis(2,2'-bipyridine)-1κ4 N,N';4κ4 N,N'-{μ4-N,N'-bis[3-(2-oxidoethylamino)propyl]oxamidato(4-)-1:2:3:4κO:κ3 N,N',O':κ3 O'',N'',N''':κO'''}tetracopper(II) tetrakis(perchlorate)
Li, Yan-Tuan
Li, Xiao-Wen
Wu, Zhi-Yong
Zhang, Xiao-Wei
Yan, Cui-Wei
ACTA CRYSTALLOGRAPHICA SECTION C-STRUCTURAL CHEMISTRY, 2010, 66 : m211 - m214
[38] Efficiency Reverse Converter for 4-Moduli Set {22n, 22n+1-1, 2n+1, 2n-1} Based on New CRT-II
Siao, Siang-Min
Kuo, Yuan-Ching
Sheu, Ming-Hwa
Lin, Xin-Kun
Chen, Tzu-Hsiung
INDUSTRIAL INSTRUMENTATION AND CONTROL SYSTEMS II, PTS 1-3, 2013, 336-338 : 1852 - +
[39] On sets of odd type of PG(n, 4) and the universal embedding of the dual polar space DH(2n-1, 4)
De Bruyn, Bart
DISCRETE MATHEMATICS, 2012, 312 (03) : 554 - 560
[40] Syntheses and structures of μ-[N,N′-bis(2-aminoethyl)-1,2-ethanediamine-N1,N1′,N2,N2′]-bis[N,N′-(bis(2-aminoethyl)-1,2-ethanediamine-N,N′,N",N′′′)]dinickel(II) perchlorate (1) and 4,4′-biphenyldisulfonate (2)
Cai, JW
Hu, XP
Yao, JH
Ji, LN
INORGANIC CHEMISTRY COMMUNICATIONS, 2001, 4 (09) : 478 - 482

← 1 2 3 4 5 →

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$n\geqslant 4$