4 papers
Optimal smooth approximation of integral cycles
Fredrick Almgren, William Browder, Gianmarco Caldini +1
In this article we prove that each integral cycle in an oriented Riemannian manifold can be approximated in flat norm by an integral cycle in the same homology cl…
Spheroidal groups, virtual cohomology and lower dimensional G-spaces
William Browder
A space is defined to be "-spheroidal" if it has the homotopy type of an -dimensional CW-complex with not zero and finitely generated. A group …
Lifting Lie algebras over the residue field of a discrete valuation ring
William Browder, Jonathan Pakianathan
Studies among other things, the question of whether a Lie algebra over Z/(p^k)Z lifts to one over Z/(p^(k+1))Z. An obstruction theory is developed and examples of Fp-Lie algebras w…
Cohomology of uniformly powerful p-groups
William Browder, Jonathan Pakianathan
Studies the cohomology of p-central, powerful, p-groups with a certain extension property. These groups are naturally associated to Lie algebras. The paper develops a machinery tha…