Volume 14, issue 6 (2014)

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

Volume 24
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

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
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
The Euler characteristic of the configuration space of planar spidery linkages

Yasuhiko Kamiyama and Shuichi Tsukuda

Algebraic & Geometric Topology 14 (2014) 3659–3688
Abstract

Among planar mechanical linkages, polygonal and spidery linkages are particularly important. We define a planar linkage which contains them. Constructing a Bott–Morse function on the configuration space of this, we determine the Euler characteristic. In particular, we give a new calculation of the Euler characteristic of polygon spaces.

Keywords
configuration space, planar linkage, Bott–Morse function
Mathematical Subject Classification 2010
Primary: 58E05
Secondary: 57M20
References
Publication
Received: 24 January 2014
Revised: 8 June 2014
Accepted: 10 June 2014
Published: 15 January 2015
Authors
Yasuhiko Kamiyama
Department of Mathematics
University of the Ryukyus
Nishihara-Cho, Okinawa 903-0213
Japan
Shuichi Tsukuda
Department of Mathematics
University of the Ryukyus
Nishihara-Cho, Okinawa 903-0213
Japan