Details:
Title  Gr\"obner bases of oriented Grassmann manifolds.  Author(s)  Tomohiro Fukaya  Type  Article in Journal  Abstract  For n=2m+1−4, m≥2, we determine the cuplength of H∗(G˜n,3;ℤ/2) by finding a Gröbner basis associated with a certain subring, where G˜n,3 is the oriented Grassmann manifold SO(n+3)/SO(n)×SO(3). As an application, we provide not only a lower but also an upper bound for the LScategory of G˜n,3. We also study the immersion problem of G˜n,3.  Keywords  cuplength; LScategory; Gröbner bases; immersion  ISSN  15320073; 15320081/e 
URL 
http://www.intlpress.com/site/pub/pages/journals/items/hha/content/vols/0010/0002/a010/ 
Language  English  Journal  Homology Homotopy Appl.  Volume  10  Number  2  Pages  195209  Publisher  International Press of Boston, Somerville, MA  Year  2008  Edition  0  Translation 
No  Refereed 
No 
