DIAGRAMS FOR RELATIVE TRISECTIONS

被引：24

作者：

Castro, Nickolas A. ^{[1
]}

Gay, David T. ^{[2
]}

Pinzon-Caicedo, Juanita ^{[3
]}

机构：

[1] Univ Calif Davis, Dept Math, One Shields Ave, Davis, CA 95616 USA

[2] Euclid Lab, 160 Milledge Terrace, Athens, GA 30606 USA

[3] NC State Univ, Dept Math, 2108 Sas Hall, Raleigh, NC 27695 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2018年 / 294卷 / 02期

关键词：

trisection; open book; Heegaard diagram; monodromy; 3-manifold; 4-manifold; RATIONAL BLOWDOWNS; 4-MANIFOLDS; CURVES;

D O I：

10.2140/pjm.2018.294.275

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a correspondence between trisections of smooth, compact, oriented 4-manifolds with connected boundary and diagrams describing these trisected 4-manifolds. Such a diagram comes in the form of a compact, oriented surface with boundary together with three tuples of simple closed curves, with possibly fewer curves than the genus of the surface, satisfying a pairwise condition of being standard. This should be thought of as the 4-dimensional analog of a sutured Heegaard diagram for a sutured 3-manifold. We also give many foundational examples.

引用

页码：275 / 305

页数：31

共 50 条

[41] Group trisections and smooth 4-manifolds
Abrams, Aaron
Gay, David T.
Kirby, Robion
GEOMETRY & TOPOLOGY, 2018, 22 (03) : 1537 - 1545
[42] CLASSIFICATION OF TRISECTIONS AND THE GENERALIZED PROPERTY R CONJECTURE
Meier, Jeffrey
Schirmer, Trent
Zupan, Alexander
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (11) : 4983 - 4997
[43] Compatible relative open books on relative contact pairs via generalized square bridge diagrams
M. F. Arıkan
İ. Ö. Taşpınar
Acta Mathematica Hungarica, 2024, 172 : 80 - 118
[44] Compatible relative open books on relative contact pairs via generalized square bridge diagrams
Arikan, M. F.
Taspinar, I. O.
ACTA MATHEMATICA HUNGARICA, 2024, 172 (01) : 80 - 118
[45] Bridge trisections in CP2 and the Thom conjecture
Lambert-Cole, Peter
GEOMETRY & TOPOLOGY, 2020, 24 (03) : 1571 - 1614
[46] Kirby-Thompson distance for trisections of knotted surfaces
Blair, Ryan
Campisi, Marion
Taylor, Scott A.
Tomova, Maggy
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2022, 105 (02): : 765 - 793
[47] Characterizing Dehn surgeries on links via trisections
Meier, Jeffrey
Zupan, Alexander
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2018, 115 (43) : 10887 - 10893
[48] Pseudo-trisections of four-manifolds with boundary
Fushida-Hardy, Shintaro
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2025,
[49] Trisections of 4-manifolds via Lefschetz fibrations
Castro, Nickolas A.
Ozbagci, Burak
MATHEMATICAL RESEARCH LETTERS, 2019, 26 (02) : 383 - 420
[50] Saliency Diagrams a tool for analyzing animation through the relative importance of keyposes
Nghiem, Nicolas
Roberts, Richard
Lewis, J. P.
Noh, Junyong
SA'19: SIGGRAPH ASIA 2019 TECHNICAL BRIEFS, 2019, : 49 - 52

← 1 2 3 4 5 →