DEHN SURGERIES ON THE FIGURE EIGHT KNOT: AN UPPER BOUND FOR COMPLEXITY

被引：0

作者：

Fominykh, E. A. ^{[1
,2
]}

机构：

[1] Chelyabinsk State Univ, Chelyabinsk, Russia

[2] Inst Math & Mech, Ekaterinburg, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2011年 / 52卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

Dehn surgery; figure eight knot; complexity; INFINITE FAMILY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish an upper bound omega(p/q) on the complexity of the manifolds obtained by p/q-surgeries on the figure eight knot. It turns out that in case omega(p/q) <= 12 the bound is sharp.

引用

页码：537 / 543

页数：7

共 50 条

[1] Dehn surgeries on the figure eight knot: An upper bound for complexity
Fominykh E.A.
[J]. Siberian Mathematical Journal, 2011, 52 (3) : 537 - 543
[2] ANOSOV FLOWS ON DEHN SURGERIES ON THE FIGURE-EIGHT KNOT
Yu, Bin
[J]. DUKE MATHEMATICAL JOURNAL, 2023, 172 (11) : 2195 - 2240
[3] The Dehn surgery characterization of the trefoil and the figure eight knot
Ozsvath, Peter
Szabo, Zoltan
[J]. JOURNAL OF SYMPLECTIC GEOMETRY, 2019, 17 (01) : 251 - 265
[4] The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries
Murakami, H
[J]. FUNDAMENTA MATHEMATICAE, 2004, 184 : 269 - 289
[5] Classification of tight contact structures on surgeries on the figure-eight knot
Conway, James
Min, Hyunki
[J]. GEOMETRY & TOPOLOGY, 2020, 24 (03) : 1457 - 1517
[6] The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces
Murakami, Hitoshi
Yokota, Yoshiyuki
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2007, 607 : 47 - 68
[7] THE GENERALIZED DEHN TWIST ALONG A FIGURE EIGHT
Kuno, Yusuke
[J]. JOURNAL OF TOPOLOGY AND ANALYSIS, 2013, 5 (03) : 271 - 295
[8] ON COVERINGS OF FIGURE 8 KNOT SURGERIES
BAKER, MD
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1991, 150 (02) : 215 - 228
[9] Dehn surgery on the figure 8 knot: Immersed surfaces
Aitchison, IR
Matsumoto, S
Rubinstein, JH
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (08) : 2437 - 2442
[10] REIDEMEISTER TORSION OF A 3-MANIFOLD OBTAINED BY AN INTEGRAL DEHN-SURGERY ALONG THE FIGURE-EIGHT KNOT
Kitano, Teruaki
[J]. KODAI MATHEMATICAL JOURNAL, 2016, 39 (02) : 290 - 296

← 1 2 3 4 5 →