In this article, we show that a conjecture raised in [KLMR], which regards the coefficient of the highest term when we evaluate the sl2 weight system on the projection of a diagram to primitive elements, is equivalent to the Melvin-Morton-Rozansky conjecture, proven in [BG].

Let π denote partition into parts λ1 ≥ λ2 ≥ λ3 . . .. In [2] we defined BG-rank(π) as

background and objective: job stress can have a direct impact on the incidence of work-related injuries and unsafe behavior and the highest rates of occupational injuries are in the health professions. therefore, as we did not find any studies regarding the physician's assistants job stress; this research was performed to determine the relationship between job stress and occupational injuries a...

Let G be a discrete group for which the classifying space for proper G-actions is finite-dimensional. We find a space W such that for any such G, the classifying space BG for proper G-bundles has the homotopy type of the W -nullification of BG. We use this to deduce some results concerning BG and in some cases where there is a good model for BG we obtain information about the BZ/p-nullification...

We show that any minimal simplicial set model for ΩCP localized rationally does not have the A∞-homotopy type of a minimal simplicial group for n ≥ 2. On the other hand, we show that there is a (non-commutative) minimal simplicial group G such that BG is a minimal simplicial set model for the rational sphere S for n ≥ 1. For p-local spaces with p > 2, there is a strictly commutative (but non-as...

191 ences among low fat high added water bologna containing different FG. Addition of FG to bologna did not improve (P>0.05) cook yield, purge or emulsion stability or alter objective texture measurements when compared to control bologna. In general, sensory panel found that incorporation of FG made low fat/high added water bologna lighter (P<0.05) in color, with a more springy and firm texture...

Let G be either a finite cyclic group of prime order or S. We show that if G acts on a manifold or, more generally, on a Poincaré duality space M , then each term of the Leray spectral sequence of the map M×GEG → BG satisfies a properly defined “Poincaré duality.” As a consequence of this fact we obtain new results relating the cohomology groups of M and M. We apply our results to study group a...

Let π denote a partition into parts λ1 ≥ λ2 ≥ λ3 . . .. In a 2006 paper we defined BG-rank(π) as

Remark 1.2. The definition of an FG-module is more technical than the definition of a representation of G, but, as the exercise shows, the two notions are equivalent. Module can be more convenient to work with, because there is less notation, and we can use results from ring theory without any translation. The language of representations is preferable if we want to have an explicit map ρ : G→ G...