Virtual knot groups and almost classical knots

We define a group-valued invariant of virtual knots and relate it to various other group-valued invariants of virtual knots, including the extended group of Silver-Williams and the quandle group of Manturov and Bardakov-Bellingeri. A virtual knot is called almost classical if it admits a diagram with an Alexander numbering, and in that case we show that the group factors as a free product of the usual knot group and Z. We establish a similar formula for mod p almost classical knots, and we use these results to derive obstructions to a virtual knot K being mod p almost classical. Viewed as knots in thickened surfaces, almost classical knots correspond to those that are homologically trivial. We show they admit Seifert surfaces and relate their Alexander invariants to the homology of the associated infinite cyclic cover. We prove the first Alexander ideal is principal, recovering a result first proved by Nakamura et al. using different methods. The resulting Alexander polynomial is shown to satisfy a skein relation, and its degree gives a lower bound for the Seifert genus. We tabulate almost classical knots up to 6 crossings and determine their Alexander polynomials and virtual genus.Comment: 44 page

Determinants of urinary concentrations of dialkyl phosphates among pregnant women in Canada — Results from the MIREC study

AbstractOrganophosphate (OP) insecticides are commonly used in agriculture. Their use decreased in recent years as they were gradually replaced by other pesticides, but some OPs are still among the insecticides most used in Canada. Exposure to elevated levels of OPs during pregnancy has been associated with adverse birth outcomes and poorer neurodevelopment in children. The objective of the present study was to examine the relationship between the concentrations of OP pesticides urinary dialkyl phosphate (DAP) metabolites and various factors that are potential sources of exposure or determinants of DAP levels. In the Maternal-Infant Research on Environmental Chemicals (MIREC) Study, six DAPs were measured in 1st trimester urine samples of 1884 pregnant women living in Canada. They were grouped into sums of dimethyl alkyl phosphates (DMAP) and diethyl alkyl phosphates (DEAP) for statistical analysis. We found that 93% of women had at least one DAP detected in their urine. Geometric means (GM) of specific gravity-corrected levels for urine dilution were 59 (95% CI 56–62) and 21 (95% CI 20–22) nmol/L for DMAP and DEAP, respectively. The following characteristics were significantly associated with higher urinary concentrations of DMAP or DEAP: higher education, nulliparous, normal pre-pregnancy body mass index, non-smoker, not fasting at sampling, winter season at sampling, and early and late day collection times. Dietary items that were significantly related with higher urinary concentrations included higher intake of citrus fruits, apple juice, sweet peppers, tomatoes, beans and dry peas, soy and rice beverages, whole grain bread, white wine and green and herbal teas. This study indicates that exposure to these compounds is quasi-ubiquitous. The factors associated with greater DAP levels identified here could be useful to regulatory agencies for risk analysis and management. However, some exposure misclassification might occur due to the single DAP measurement available, and to the presence of preformed DAPs in the environment

Stitching Together the Urban Fabric

This Urban Design Studio in Springfield focused on incremental and systemic design changes at specific places in Downtown to improve the quality of life. The analysis investigated six interweaving, overlapping urban systems: Music and Art, Food and Retail, Working, Public Green, Education and Housing. Overlooked streets and their immediate context were of major focus: Worthington Street, Dwight Street, Willow Street and the stilted Interstate 91 viaduct. Downtown Springfield is currently undergoing a substantial change of the physical urban fabric: The renovation of the Union Station into a multi-modal transportation hub, the MGM Casino Resort and the new Dr. Seuss Museum at the Quadrangle. While these projects create larger-scale hubs at the edges of downtown, there is the necessity of stitching Downtown together with small scale amenities and activities. How can we bridge the gaps and create stepping stones that make downtown streets a more walkable and bicycle-friendly experience? How can we create new economic opportunities and possibilities to serve needs for adult education, gathering and small-scale entertainment? A Design Charrette with residents, stakeholders and community activists was held in the beginning of the studio. The charrette was organized around the six urban systems. The students led image-driven interviews with the community members, mapped places with existing assets or places with opportunities. Four design scenarios were created: HEART OF THE CITY -DESIGNING ARTERIES FOR THE PEOPLE designed the urban fabric around Worthington Street. 24/7, year around programming of underutilized parking lots, public art and lighting, temporary closure of streets and activation of empty storefronts work together with a coherent design palette. DWIGHT STREET REVIVAL: Dwight Street is transformed into a green bike and walk artery with new and repurposed places for working, living, adult education, and art. STOCKBRIDGE SQUARE: A VILLAGE IN THE CITY creates a village in the city adjacent to the MGM Casino Resort with open space for the community, mixed use buildings, sustainable street systems, ground level retail and multiple market-rate housing options. The village will attract new residents in downtown. ECOLOGY VISION creates a healthy downtown Springfield with “toolkit” around restored urban ecological systems for a livable and beautiful city. A stormwater park underneath I-91 is accompanied by a pedestrian boulevard and an urban forest. STITCHING TOGETHER THE URBAN FABRIC raises awareness for discovering the little notes and in-betweens. This proposal encompasses sustainability in a comprehensive way. It will make Springfield green and beautiful, will increase diversity, create jobs and bring vitality back

Urinary And Breast Milk Biomarkers To Assess Exposure Ro Naphthalene In Pregnant Women: An Investigation Of Personal And Indoor Air Sources

Naphthalene exposures for most non-occupationally exposed individuals occur primarily indoors at home. Residential indoor sources include pest control products (specifically moth balls), incomplete combustion such as cigarette smoke, woodstoves and cooking, some consumer and building products, and emissions from gasoline sources found in attached garages. The study aim was to assess naphthalene exposure in pregnant women from Canada, using air measurements and biomarkers of exposure

A Prospective Study of Organochlorines in Adipose Tissue and Risk of Non-Hodgkin Lymphoma

Background: Exposure to organochlorines has been examined as a potential risk factor for non-Hodgkin lymphoma (NHL), with inconsistent results that may be related to limited statistical power or to imprecise exposure measurements

The Science Performance of JWST as Characterized in Commissioning

This paper characterizes the actual science performance of the James Webb Space Telescope (JWST), as determined from the six month commissioning period. We summarize the performance of the spacecraft, telescope, science instruments, and ground system, with an emphasis on differences from pre-launch expectations. Commissioning has made clear that JWST is fully capable of achieving the discoveries for which it was built. Moreover, almost across the board, the science performance of JWST is better than expected; in most cases, JWST will go deeper faster than expected. The telescope and instrument suite have demonstrated the sensitivity, stability, image quality, and spectral range that are necessary to transform our understanding of the cosmos through observations spanning from near-earth asteroids to the most distant galaxies.Comment: 5th version as accepted to PASP; 31 pages, 18 figures; https://iopscience.iop.org/article/10.1088/1538-3873/acb29

The James Webb Space Telescope Mission

Twenty-six years ago a small committee report, building on earlier studies, expounded a compelling and poetic vision for the future of astronomy, calling for an infrared-optimized space telescope with an aperture of at least $4m$. With the support of their governments in the US, Europe, and Canada, 20,000 people realized that vision as the $6.5m$ James Webb Space Telescope. A generation of astronomers will celebrate their accomplishments for the life of the mission, potentially as long as 20 years, and beyond. This report and the scientific discoveries that follow are extended thank-you notes to the 20,000 team members. The telescope is working perfectly, with much better image quality than expected. In this and accompanying papers, we give a brief history, describe the observatory, outline its objectives and current observing program, and discuss the inventions and people who made it possible. We cite detailed reports on the design and the measured performance on orbit.Comment: Accepted by PASP for the special issue on The James Webb Space Telescope Overview, 29 pages, 4 figure