, Volume 126, Issue 2, pp 1111-1116

On configuration spaces of planar pentagons

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Abstract

Algebraic formulas for the Euler characteristic are applied to the topological study of the moduli spaces of planar polygons. In particular, a complete description of the moduli spaces of planar pentagons is obtained by using a computer algorithm for the calculation of the Euler characteristic of algebraic varieties. Bibliography: 17 titles.

Published in Zapiski Nauchnykh Seminarov POMI, Vol. 292, 2002, pp. 120–129.
This revised version was published online in April 2005 with a corrected cover date and article title.