Bipyramid decompositions of multicrossing link complements

被引：0

作者：

Adams, Colin ^{[1
]}

Kehne, Gregory ^{[2
]}

机构：

[1] Williams Coll, Dept Math & Stat, Williamstown, MA 01267 USA

[2] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA

来源：

COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2020年 / 28卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Generalizing previous constructions, we present a dual pair of decompositions of the complement of a link L into bipyramids, given any multicrossing projection of L. When L is hyperbolic, this gives new upper bounds on the volume of L given its multicrossing projection. These bounds are realized by three closely related infinite tiling weaves.

引用

页码：499 / 518

页数：20

共 50 条

[1] Angled decompositions of arborescent link complements
Futer, David
Gueritaud, Francois
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2009, 98 : 325 - 364
[2] Tangle decompositions of alternating link complements
Hass, Joel
Thompson, Abigail
Tsvietkova, Anastasiia
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 2021, 65 (03) : 533 - 545
[3] Canonical decompositions of hyperbolic fibered two-bridge link complements
Sakata, Naoki
[J]. TOPOLOGY AND ITS APPLICATIONS, 2015, 196 : 821 - 845
[4] JS']JSJ-DECOMPOSITIONS OF KNOT AND LINK COMPLEMENTS IN S-3
Budney, Ryan
[J]. ENSEIGNEMENT MATHEMATIQUE, 2006, 52 (3-4): : 319 - 359
[5] Veering structures of the canonical decompositions of hyperbolic fibered two-bridge link complements
Sakata, Naoki
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2016, 25 (04)
[6] UNIQUE COMPLEMENTS AND DECOMPOSITIONS OF DATABASE SCHEMATA
HEGNER, SJ
[J]. JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 1994, 48 (01) : 9 - 57
[7] Hamilton decompositions of graphs with primitive complements
Ozkan, Sibel
Rodger, C. A.
[J]. DISCRETE MATHEMATICS, 2009, 309 (14) : 4883 - 4888
[8] On Archimedean link complements
Aitchison, IR
Reeves, LD
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2002, 11 (06) : 833 - 868
[9] COMMENSURABILITY OF LINK COMPLEMENTS
Yoshida, Han
[J]. OSAKA JOURNAL OF MATHEMATICS, 2017, 54 (04) : 635 - 645
[10] Incompressible surfaces in link complements
Wu, YQ
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (11) : 3417 - 3423

← 1 2 3 4 5 →