10,043 research outputs found
A model structure on internal categories in simplicial sets
We put a model structure on the category of categories internal to simplicial
sets whose weak equivalences are reflected by the nerve functor to bisimplicial
sets with Rezk's model structure. This model structure is shown to be Quillen
equivalent to Rezk's model structure, thus internal category are another model
for -categories.Comment: 39 page
Brown categories and bicategories
In a Brown category of cofibrant objects, there is a model for the mapping
spaces of the hammock localization in terms of zig-zags of length 2. In this
paper we show how to assemble these spaces into a Segal category that models
the infinity-categorical localization of the Brown category.Comment: 16 page
Higher Hochschild cohomology of the Lubin-Tate ring spectrum
We give a method for computing factorization homology of \oper{E}_n-algebra
using as an input an algebraic version of higher Hochschild homology due to
Pirashvili. We then show how to compute higher Hochschild homology and
cohomology when the algebra is \'etale in a sense that we make precise. As an
application, we compute higher Hochschild cohomology of the Lubin-Tate ring
spectrum.Comment: 27 page
Mixed Hodge structures and formality of symmetric monoidal functors
We use mixed Hodge theory to show that the functor of singular chains with
rational coefficients is formal as a lax symmetric monoidal functor, when
restricted to complex schemes whose weight filtration in cohomology satisfies a
certain purity property. This has direct applications to the formality of
operads or, more generally, of algebraic structures encoded by a colored
operad. We also prove a dual statement, with applications to formality in the
context of rational homotopy theory. In the general case of complex schemes
with non-pure weight filtration, we relate the singular chains functor to a
functor defined via the first term of the weight spectral sequence.Comment: 26 page
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Demonstration that a lectin-like receptor (gp90MEL) directly mediates adhesion of lymphocytes to high endothelial venules of lymph nodes.
Lymphocyte migration from the blood into most secondary lymphoid organs is initiated by a highly selective adhesive interaction with the endothelium of specialized blood vessels known as high endothelial venules (HEV). The propensity of lymphocytes to migrate to particular lymphoid organs is known as lymphocyte homing, and the receptors on lymphocytes that dictate interactions with HEV at particular anatomical sites are designated "homing receptors". Based upon antibody blockade experiments and cell-type distribution studies, a prominent candidate for the peripheral lymph node homing receptor in mouse is the approximately 90-kD cell surface glycoprotein (gp90MEL) recognized by the monoclonal antibody MEL-14. Previous work, including sequencing of a cDNA encoding for this molecule, supports the possibility that gp90MEL is a calcium-dependent lectin-like receptor. Here, we show that immunoaffinity-purified gp90MEL interacts in a sugar-inhibitable manner with sites on peripheral lymph node HEV and prevents attachment of lymphocytes. Lymphocyte attachment to HEV in Peyer's patches, a gut-associated lymphoid organ, is not affected by gp90MEL. The results demonstrate that gp90MEL, as a lectin-like receptor, directly bridges lymphocytes to the endothelium
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