Volume 17, issue 6 (2017)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 18, 1 issue

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Nine generators of the skein space of the $3$–torus

Alessio Carrega

Algebraic & Geometric Topology 17 (2017) 3449–3460
Abstract

We show that the skein vector space of the 3–torus is finitely generated. We show that it is generated by nine elements: the empty set, some simple closed curves representing the nonzero elements of the first homology group with coefficients in  2, and a link consisting of two parallel copies of one of the previous nonempty knots.

Keywords
skein space, skein module, Kauffman bracket, Jones polynomial, 3-torus
Mathematical Subject Classification 2010
Primary: 57MXX
References
Publication
Received: 28 April 2016
Revised: 8 April 2017
Accepted: 28 April 2017
Published: 4 October 2017
Authors
Alessio Carrega
Dipartimento di Matematica “Tonelli”
Università di Pisa
Pisa
Italy