The 3–cocycles of the Alexander quandles 𝔽q[T]∕(T − ω)

Mochizuki, Takuro

doi:10.2140/agt.2005.5.183

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

The 3–cocycles of the Alexander quandles $\mathbb{F}_q[T]/(T-\omega)$

Takuro Mochizuki

Algebraic & Geometric Topology 5 (2005) 183–205

DOI: 10.2140/agt.2005.5.183

arXiv: math.GT/0210419

Abstract

We determine the third cohomology of Alexander quandles of the form $F_{q} [T] ∕ (T - ω)$ , where $F_{q}$ denotes the finite field of order $q$ and $ω$ is an element of $F_{q}$ which is neither $0$ nor $1$ . As a result, we obtain many concrete examples of non-trivial $3$ –cocycles.

Keywords

quandle, cohomology, knot

Mathematical Subject Classification 2000

Primary: 18G60

Secondary: 55N35, 57Q45

References

Forward citations

Publication

Received: 31 May 2004

Accepted: 21 September 2004

Published: 23 March 2005

Authors

Takuro Mochizuki
Department of Mathematics Kyoto University Kyoto 606–8502 Japan

Volume 5, issue 1 (2005)