| 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 |