Volume 13, issue 2 (2013)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
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/