502 citations · 1.4k across the 24 of their papers we have counts for
25 papers
A Cochain Level Proof of Adem Relations in the Mod 2 Steenrod Algebra
Greg Brumfiel, Anibal M. Medina-Mardones, John Morgan
In 1947, N.E. Steenrod defined the Steenrod Squares, which are mod 2 cohomology operations, using explicit cochain formulae for cup-i products of cocycles. He later recast the cons…
Quadratic Functions of Cocycles and Pin Structures
Greg Brumfiel, John Morgan
We construct a natural bijective correspondence between equivalence classes of Pin structures on a compact simplicial -manifold , possibly with boundary, and $\mathbb{Z…
The Pontrjagin Dual of 4-Dimensional Spin Bordism
Greg Brumfiel, John Morgan
The goal of this paper is to study the Pontrjagin dual of (reduced) 4-dimensional Spin bordism. That is to say, we consider the functor from the category of topological spaces to t…
The Pontrjagin Dual of 3-Dimensional Spin Bordism
Greg Brumfiel, John Morgan
For each space X we define an explicit group, G(X), functorially in X. This group is constructed from the groups of cochains on X. Furthermore, we construct an explicit functorial…
Correction to Section 19.2 of Ricci Flow and the Poincare Conjecture
John Morgan, Gang Tian
This note corrects a mistake in the original book in the evolution equations of total curvature for the curve-shrinking flow in an ambient Ricci Flow. The resulting upper bound for…
Completion of the Proof of the Geometrization Conjecture
John Morgan, Gang Tian
This article is a sequel to the book `Ricci Flow and the Poincare Conjecture' by the same authors. Using the main results of that book we establish the Geometrization Conjecture fo…