Comultiplication in link Floer homology and transversely nonsimple links

被引：6

作者：

Baldwin, John A. ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2010年 / 10卷 / 03期

基金：

美国国家科学基金会;

关键词：

LEGENDRIAN KNOTS; INVARIANTS; SIMPLICITY; EQUATIONS;

D O I：

10.2140/agt.2010.10.1417

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a word w in the braid group B n, we denote by T(w) the corresponding transverse braid in (R(3); xi(rot)). We exhibit, for any two g, h is an element of B(n), a "comultiplication" map on link Floer homology (Phi) over tilde (HFL) over tilde (m(T(hg)))->(HFL) over tilde (m(T(g)#T(h))) (theta) over tilde (T(g)#T(h)). We use this comultiplication map to generate infinitely many new examples of prime topological link types which are not transversely simple.

引用

页码：1417 / 1436

页数：20

共 31 条

[1]

BAKER K, ARXIV08030758

[2]

BAKER K, 2008, MATH RES LETT, V273

[3]

Baldwin JA, 2008, MATH RES LETT, V15, P273

[4]

BENNEQUIN D, 1983, ASTERISQUE, P87