Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778074 | Topology and its Applications | 2017 | 11 Pages |
Abstract
We derive new lower bound for the characteristic rank of the canonical 3-plane bundle γËn,3 over the oriented Grassmann manifold GËn,3â
SO(n)/(SO(3)ÃSO(nâ3)) for all n in range 2t+2tâ1â¤nâ¤2t+1â4, tâ¥3. Using this knowledge we determine the Z2-cup-length of GË2t+2tâ1+1,3 and GË2t+2tâ1+2,3, verifying the corresponding claim of T. Fukaya's conjecture.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
TomáÅ¡ Rusin,