The Alexander polynomial as an intersection of two cycles in a symmetric power-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

The Alexander polynomial as an intersection of two cycles in a symmetric power

Published:2015-10 Issue:12 Volume:24 Page:1550061
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Kalinin Nikita¹²

Affiliation:

1. Université de Genève, Section de Mathématiques, Route de Drize 7, Villa Battelle, 1227 Carouge, Switzerland

2. St. Petersburg Department of the Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia

Abstract

We consider a braid β which acts on a punctured plane. Then we construct a local system on this plane and find a homology cycle D in its symmetric power, such that D ⋅ β(D) coincides with the Alexander polynomial of the plait closure of β.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216515500613

Reference16 articles.

1. Topological invariants of knots and links

2. A homological definition of the Jones polynomial

3. On the Stable Equivalence of Plat Representations of Knots and Links

4. J. H. Conway, Computational Problems in Abstract Algebra, ed. J. Leech (Pergamon Press, New York, 1967) pp. 329–358.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP