A combinatorial spanning tree model for knot Floer homology

被引：28

作者：

Baldwin, John A. ^{[1
]}

Levine, Adam Simon ^{[2
]}

机构：

[1] Boston Coll, Dept Math, Chestnut Hill, MA 02467 USA

[2] Brandeis Univ, Dept Math, Waltham, MA 02453 USA

来源：

ADVANCES IN MATHEMATICS | 2012年 / 231卷 / 3-4期

基金：

美国国家科学基金会;

关键词：

Knot Floer homology; Heegaard Floer homology; Khovanov homology; Spanning tree; Exact triangle; EMBEDDED CONTACT HOMOLOGY; HOLOMORPHIC DISKS; KHOVANOV HOMOLOGY; INVARIANTS;

D O I：

10.1016/j.aim.2012.06.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We iterate Manolescu's unoriented skein exact triangle in knot Hoer. homology with coefficients in the field of rational functions over Z/2Z. The result is a spectral sequence which converges to a stabilized version of A-graded knot Floer homology. The (E-2 . d(2)) page of this spectral sequence is an algorithmically computable chain complex expressed in terms of spanning trees, and we show that there are no higher differentials. This Oyes the first combinatorial spanning tree model for knot Floer homology. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1886 / 1939

页数：54

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