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

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