M. Behrens, M. Hill, M. J. Hopkins, M. Mahowald
Abstract. Let M(1) be the mod 2 Moore spectrum. J.F. Adams proved that M(1) admits a minimal v1-self map v4 1: Σ8M(1) → M(1). Let M(1, 4) be the cofiber of this self-map. The purpose of this paper...
M. Behrens, M. Hill, M. J. Hopkins, M. Mahowald
Abstract. Let M(1) be the mod 2 Moore spectrum. J.F. Adams proved that M(1) admits a minimal v1-self map v4 1: Σ8M(1) → M(1). Let M(1, 4) be the cofiber of this self-map. The purpose of this paper...
K(1)-LOCAL E ∞ RING SPECTRA (2008)
Some useful examples of objects of C are p-adic K-theory, K, the Adams “summand ” B of K, and the sphere S. At the prime 2, the spectrum B is KO, and is not a summand of K. The group Z × p of...
Rational S¹-Equivariant Elliptic Cohomology. (2007)
. We study the rational S 1 -equivariant cohomology theory associated to an elliptic curve. The representing S 1 -spectrum is identified using the first author's model of rational S 1 -spectra,...
Moduli problems for structured ring spectra, preprint (2005)
In this document we make good on all the assertions we made in the previous paper “Moduli spaces of commutative ring spectra ” [20] wherein we laid out a theory a moduli spaces and problems for...
Moduli Spaces of Commutative Ring Spectra (2003)
Let E be a homotopy commutative ring spectrum, and suppose the ring of cooperations E#E is flat over E# . We wish to address the following question: given a commutative E# -algebra A in...
Quadratic functions in geometry, topology,and M-theory (2002)
We describe an interpretation of the Kervaire invariant of a Riemannian manifold of dimension $4k+2$ in terms of a holomorphic line bundle on the abelian variety $H^{2k+1}(M)\otimes R/Z$. Our results...
On Ramond-Ramond fields and K-theory (2000)
A recent paper by Moore and Witten explained that Ramond-Ramond fields in Type II superstring theory have a global meaning in K-theory. In this note we amplify and generalize some points raised in...
Vanishing lines in generalized Adams spectral sequences are generic (1999)
Hopkins, M. J., Palmieri, J. H., Smith, J. H.
We show that in a generalized Adams spectral sequence, the presence of a vanishing line of fixed slope (at some term of the spectral sequence, with some intercept) is a generic property.
Simplicial Structured Ring Spectra (1999)
We examine the foundations of simplicial algebras in spectra over a simplicial operad. We are led to simplicial operads and simplicial algebras over simplicial operads because certain operads which...
Realizing Commutative Ring Spectra as E∞ Ring Spectra (1999)
We outline an obstruction theory for deciding when a homotopy commutative and associative ring spectrum is actually an E1 ring spectrum. The obstruction groups are Andr'e-Quillen cohomology...
Vanishing lines in Adams spectral sequences are generic (1998)
Hopkins, M. J., Palmieri, J. H., Smith, J. H.
We show that in a generalized Adams spectral sequence, the presence of a vanishing line of fixed slope (at some term of the spectral sequence, with some intercept) is a generic property.
Elliptic spectra, the Witten genus and the theorem of the cube (1997)
M. Ando, M. J. Hopkins, N. P. Strickland
2. More detailed results 7 2.1. The algebraic geometry of even periodic ring spectra 7
Resolutions in Model Categories (1997)
Let C be a closed model category. Following work of Dwyer, Kan, and Stover, we develop a technique for building simplicial resolutions of objects in C which are free, or homotopically free, in a...
Teacher education : the impact of Commonwealth Government policy 1965-76 (1976)
This study is confined to certain changes in teacher education, particularly in the primary area, in former teachers colleges and colleges of advanced education. The problems experienced by the...
Teacher education : the impact of Commonwealth Government policy 1965-76 (1976)
This study is confined to certain changes in teacher education, particularly in the primary area, in former teachers colleges and colleges of advanced education. The problems experienced...
Teacher education : the impact of Commonwealth Government policy 1965-76 (1976)
This study is confined to certain changes in teacher education, particularly in the primary area, in former teachers colleges and colleges of advanced education. The problems experienced...
Teacher education : the impact of Commonwealth Government policy 1965-76 (1976)
This study is confined to certain changes in teacher education, particularly in the primary area, in former teachers colleges and colleges of advanced education. The problems experienced...
Teacher education : the impact of Commonwealth Government policy 1965-76 (1976)
This study is confined to certain changes in teacher education, particularly in the primary area, in former teachers colleges and colleges of advanced education. The problems experienced...
Teacher education : the impact of Commonwealth Government policy 1965-76 (1976)
This study is confined to certain changes in teacher education, particularly in the primary area, in former teachers colleges and colleges of advanced education. The problems experienced...
Fite, A, Macfarlane, G T, Cummings, J H, Hopkins, M J, Kong, S C, Furrie, E, ...
Background: Desulfovibrios produce sulphide, which is toxic to colonic epithelial cells. These bacteria have previously been linked to ulcerative colitis. Traditional methods of culturing these...
Prebiotic carbohydrates modify the mucosa associated microflora of the human large bowel
Langlands, S J, Hopkins, M J, Coleman, N, Cummings, J H
Background and aims: The mucosa associated flora of the large intestine is important in determining mucosal function although what controls its composition is unknown. This study has determined the...