Volume 13, issue 2 (2013)

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

Volume 25
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

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
Homology of moduli spaces of linkages in high-dimensional Euclidean space

Dirk Schütz

Algebraic & Geometric Topology 13 (2013) 1183–1224
Abstract

We study the topology of moduli spaces of closed linkages in d depending on a length vector n. In particular, we use equivariant Morse theory to obtain information on the homology groups of these spaces, which works best for odd d. In the case d = 5 we calculate the Poincaré polynomial in terms of combinatorial information encoded in the length vector.

Keywords
moduli spaces, linkages, homology
Mathematical Subject Classification 2010
Primary: 58D29
Secondary: 55R80, 57R70
References
Publication
Received: 19 July 2012
Revised: 21 December 2012
Accepted: 23 December 2012
Published: 18 April 2013
Authors
Dirk Schütz
Department of Mathematical Sciences
University of Durham
South Road
Durham DH1 3LE
UK
http://www.maths.dur.ac.uk/~dma0ds/