Advances and Applications in Discrete Mathematics
Volume 19, Issue 1, Pages 51 - 59
(January 2018) http://dx.doi.org/10.17654/AADMJan2018_051_059 |
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HYPERSURFACES OF POLYGON SPACES
Yasuhiko Kamiyama
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Abstract: Given a string of npositive real numbers, one considers the moduli space of closed spatial polygonal curves having edge lengths The complex manifold contains various complex hypersurfaces. We study the relationship between the homology classes represented by them. We also study the problem for the moduli space of planar polygonal curves. As an application, we study the following question: It is known that there is a diffeomorphism F between certain planar polygon spaces. We study how the homology classes correspond under F. |
Keywords and phrases: polygon space, homology class, hypersurface. |
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