Michishige Tezuka

Homology of the configuration spaces of quasi-equilateral polygon linkages

We consider the configuration space Mn,, r of quasi-equilateral polygon linkages with n vertices each edge having length 1 except for one fixed edge having length r (r > 0) in the Euclidean plane R2. In this paper, we determine H* (Mn,r; Z).

Coniveau spectral sequences of classifying spaces for exceptional and Spin groups

Let k be an algebraically closed field of ch ( k ) = 0 and G be a simple simply connected algebraic group G over k . By using results about cohomological invariants, we compute the coniveau spectral sequence for classifying spaces BG .