Diagonal maps and cohomology rings of sol manifolds and virtually cyclic groups
Resolutions and the group cohomology of the sapphire manifolds and of the virtuall...
Partial actions and partial representations, cohomology and applications
| Full text | |
| Author(s): |
Martins, Sergio Tadao
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Sao Paulo, Dept Math IME, BR-05508090 Sao Paulo, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION; v. 25, n. 3, p. 493-530, MAY 2015. |
| Web of Science Citations: | 1 |
| Abstract | |
For a torus bundle (S-1 x S-1) --> M --> S-1, we construct a finite free resolution of Z over Z{[}pi(1)(M)] and compute the cohomology groups H{*}(pi(1)(M); Z) and H{*}(pi(1)(M); Z(p)) for a prime p. We also construct a partial diagonal approximation for the resolution, which allows us to compute the cup products in H{*}(pi(1)(M); Z) and H{*}(pi(1)(M); Z(p)). (AU) | |
| FAPESP's process: | 13/21394-7 - Diagonal maps and cohomology rings of sol manifolds and virtually cyclic groups |
| Grantee: | Sérgio Tadao Martins |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 13/07510-4 - Resolutions and the group cohomology of the sapphire manifolds and of the virtually cyclic groups |
| Grantee: | Sérgio Tadao Martins |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |