The Height of a Class in the Cohomology Ring of Polygon Spaces
Joint Authors
Kimoto, Kazufumi
Kamiyama, Yasuhiko
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-26
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Let M-n,r be the configuration space of planar n-gons having side lengths 1,…,1 and r modulo isometry group.
For generic r, the cohomology ring H*(M-n,r;ℤ2) has a form H*(M-n,r;ℤ2)=ℤ2[R(n,r),V1,…,Vn-1]/ℐn,r, where R(n,r) is the first Stiefel-Whitney class of a certain regular 2-cover π:Mn,r⟶M-n,r and the ideal ℐn,r is in general big.
For generic r, we determine the number h(n,r) such that R(n,r)h(n,r)≠0 but R(n,r)h(n,r)+1=0.
American Psychological Association (APA)
Kamiyama, Yasuhiko& Kimoto, Kazufumi. 2013. The Height of a Class in the Cohomology Ring of Polygon Spaces. International Journal of Mathematics and Mathematical Sciences،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-462005
Modern Language Association (MLA)
Kamiyama, Yasuhiko& Kimoto, Kazufumi. The Height of a Class in the Cohomology Ring of Polygon Spaces. International Journal of Mathematics and Mathematical Sciences No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-462005
American Medical Association (AMA)
Kamiyama, Yasuhiko& Kimoto, Kazufumi. The Height of a Class in the Cohomology Ring of Polygon Spaces. International Journal of Mathematics and Mathematical Sciences. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-462005
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462005
