Oriented area is a perfect Morse function

An appropriate generalization of the oriented area function is a perfect Morse function on the space of three-dimensional configurations of an equilateral polygonal linkage with odd number of edges. Therefore, the cyclic equilateral polygons (which appear as Morse points) can be viewed as independen...

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Bibliographic Details
Published in:St. Petersburg mathematical journal 2018-01, Vol.29 (3), p.469-474
Main Author: Panina, G.
Format: Article
Language:English
Online Access:Get full text
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Summary:An appropriate generalization of the oriented area function is a perfect Morse function on the space of three-dimensional configurations of an equilateral polygonal linkage with odd number of edges. Therefore, the cyclic equilateral polygons (which appear as Morse points) can be viewed as independent generators of the homology groups of the (decorated) configuration space.
ISSN:1061-0022
1547-7371
DOI:10.1090/spmj/1503