Alexander-Conway polynomial state model and link homology

被引：2

作者：

Kauffman, Louis H. ^{[1
]}

Silvero, Marithania ^{[2
]}

机构：

[1] Univ Illinois, Dept Math, Chicago, IL 60680 USA

[2] Univ Seville, Dept Algebra, Seville, Spain

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2016年 / 25卷 / 03期

关键词：

Knot; link; state sum; Alexander-Conway polynomial; knot Floer homology; INVARIANTS; KNOTS;

D O I：

10.1142/S0218216516400058

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper shows how the Formal Knot Theory state model for the Alexander-Conway polynomial is related to Knot Floer Homology. In particular, we prove a parity result about the states in this model that clarifies certain relationships of the model with Knot Floer Homology.

引用

页数：8

共 50 条

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[J]. MATHEMATICAL NOTES, 2020, 108 (5-6) : 764 - 766
[2] FREE FERMIONS AND THE ALEXANDER-CONWAY POLYNOMIAL
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[3] The Links-Gould polynomial as a generalization of the Alexander-Conway polynomial
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[8] Elementary Theory of the Alexander-Conway Polynomial (vol 108, pg 764, 2020)
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[J]. MATHEMATICAL NOTES, 2021, 109 (5-6) : 995 - 995
[9] On the topology of the coefficients of the Alexander-Conway polynomials of knots
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[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2016, 25 (02)
[10] On Alexander-Conway polynomials of two-bridge links
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[J]. JOURNAL OF SYMBOLIC COMPUTATION, 2015, 68 : 215 - 229

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