9 citations · 37 across the 11 of their papers we have counts for
11 papers
Periodic cohomology
Wajid Mannan
We offer a direct proof of an elementary result concerning cohomological periods. As a corollary we show that given a finitely generated stably free resolution of Z over a finite g…
Explicit generators for the relation module in the example of Gruenberg-Linnell
Wajid Mannan
Gruenberg and Linnell showed that the standard relation module of a free product of groups of the form could be generated by just generators, rais…
The third homotopy module of a 2-complex
Wajid Mannan
Given a connected 2-complex X with fundamental group G, we show how pi_3(X) may be computed as a module over Z[G]. Further we show that if X is a finite connected 2-complex with G…
The D(2) property for
Wajid Mannan
Wall's D(2) problem asks if a cohomologically 2-dimensional geometric 3-complex is necessarily homotopy equivalent to a geometric 2-complex. We solve part of the problem when the f…
Quillen's Plus Construction and the D(2) problem
Wajid Mannan
Given a finite connected 3-complex with cohomological dimension 2, we show it may be constructed up to homotopy by applying the Quillen plus construction to the Cayley complex of a…
Duality in the homology of 5-manifolds
Wajid Mannan
We show that the homological properties of a 5-manifold M with fundamental group G are encapsulated in a G-invariant stable form on the dual of the third syzygy of Z. In this notat…
Homotopy types of truncated projective resolutions
Wajid Mannan
We work over an arbitrary ring R. Given two truncated projective resolutions of equal length for the same module we consider their underlying chain complexes. We show they may be s…
A fake Klein bottle with bubble
Wajid Mannan
We resolve the question of the existence of a finite 2-complex with the same fundamental group and Euler characteristic as a Klein bottle with a bubble, but homotopically distinct…
A commutative version of the group ring
Wajid Mannan
We construct a commutative version of the group ring and show that it allows one to translate questions about the normal generation of groups into questions about the generation of…
Computing Borel's Regulator II
Zacky Choo, Wajid Mannan, Rubén J. Sánchez-García +1
This paper has been merged with arXiv:0908.3765
Computing Borel's Regulator
Zacky Choo, Wajid Mannan, Rubén J. Sánchez-García +1
We present an infinite series formula based on the Karoubi-Hamida integral, for the universal Borel class evaluated on H_{2n+1}(GL(\mathbb{C})). For a cyclotomic field F we define…