TY - JOUR

T1 - Oriented area is a perfect morse function

AU - Panina, G.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - Flexible polygon

KW - Morse index

KW - Polygonal linkage

UR - http://www.scopus.com/inward/record.url?scp=85045578566&partnerID=8YFLogxK

U2 - 10.1090/spmj/1503

DO - 10.1090/spmj/1503

M3 - Article

AN - SCOPUS:85045578566

VL - 29

SP - 469

EP - 474

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 3

ER -