Actions of automorphism groups of free groups on homology spheres and acyclic manifolds

For n at least 3, let SAut(F_n) denote the unique subgroup of index two in the automorphism group of a free group. The standard linear action of SL(n,Z) on R^n induces non-trivial actions of SAut(F_n) on R^n and on S^{n-1}. We prove that SAut(F_n) admits no non-trivial actions by homeomorphisms on acyclic manifolds or spheres of smaller dimension. Indeed, SAut(F_n) cannot act non-trivially on any generalized Z_2-homology sphere of dimension less than n-1, nor on any Z_2-acyclic Z_2-homology manifold of dimension less than n. It follows that SL(n,Z) cannot act non-trivially on such spaces either. When n is even, we obtain similar results with Z_3 coefficients.Comment: Typos corrected, reference and thanks added. Final version, to appear in Commetarii. Math. Hel

The Dehn functions of Out(F_n) and Aut(F_n)

For n > 2, the Dehn functions of Aut(F_n) and Out(F_n) are exponential. Hatcher and Vogtmann proved that they are at most exponential, and the complementary lower bound in the case n=3 was established by Bridson and Vogtmann. Handel and Mosher completed the proof by reducing the lower bound for n>4 to the case n=3. In this note we give a shorter, more direct proof of this last reduction.Comment: Final version, to appear in Annales de l'Institut Fourie

Actions of arithmetic groups on homology spheres and acyclic homology manifolds

We establish lower bounds on the dimensions in which arithmetic groups with torsion can act on acyclic manifolds and homology spheres. The bounds rely on the existence of elementary p-groups in the groups concerned. In some cases, including Sp(2n,Z), the bounds we obtain are sharp: if X is a generalized Z/3-homology sphere of dimension less than 2n-1 or a Z/3-acyclic Z/3-homology manifold of dimension less than 2n, and if n \geq 3, then any action of Sp(2n,Z) by homeomorphisms on X is trivial; if n = 2, then every action of Sp(2n,Z) on X factors through the abelianization of Sp(4,Z), which is Z/2.Comment: Final version, to appear in Math Zeitschrif

Oral Bisphosphonate Exposure and the Risk of Upper Gastrointestinal Cancers

The association between oral bisphosphonate use and upper gastrointestinal cancer has been controversial. Therefore, we examined the association with esophageal and gastric cancer within the Kaiser Permanente, Northern California population. A total of 1,011 cases of esophageal (squamous cell carcinoma and adenocarcinoma) and 1,923 cases of gastric adenocarcinoma (cardia, non-cardia and other) diagnosed between 1997 and 2011 from the Kaiser Permanente, Northern California cancer registry were matched to 49,886 and 93,747 controls, respectively. Oral bisphosphonate prescription fills at least one year prior to the index date were extracted. Conditional logistic regression was used to calculate odds ratios (OR) and 95% confidence intervals (95% CI) for the associations between prospectively evaluated oral bisphosphonate use with incident esophageal and gastric cancer diagnoses with adjustment for potential confounders. After adjustment for potential confounders, no significant associations were found for esophageal squamous cell carcinoma (OR 0.88; 95% CI: 0.51, 1.52), esophageal adenocarcinoma (OR 0.68; 95% CI: 0.37, 1.24), or gastric non-cardia adenocarcinoma (OR 0.83, 95% CI: 0.59, 1.18), but we observed an adverse association with gastric cardia adenocarcinoma (OR 1.64; 95% CI: 1.07, 2.50). In conclusion, we observed no association between oral bisphosphonate use and esophageal cancer risk within a large community-based population. A significant association was detected with gastric cardia and other adenocarcinoma risk, although this needs to be replicated

Classical and quantum mechanical plane switching in CO2

Classical plane switching takes place in systems with a pronounced 1:2 resonance, where the degree of freedom with lowest frequency is doubly-degenerate. Under appropriate conditions, one observes a periodic and abrupt precession of the plane in which the doubly-degenerate motion takes place. In this article, we show that quantum plane switching exists in CO2 : Based on our analytical solutions of the classical Hamilton's equations of motion, we describe the dependence on vibrational angular momentum and energy of the frequency of switches and the plane switching angle. Using these results, we find optimal initial wave packet conditions for CO2 and show, through quantum mechanical propagation, that such a wave packet indeed displays plane switching at energies around 10000 cm-1 above the ground state on time scales of about 100 fs.Comment: accepted for publication in the Journal of Chemical Physic

Dental health and lung cancer risk in the Golestan Cohort Study

Background: Poor oral health has been linked to various systemic diseases, including multiple cancer types, but studies of its association with lung cancer have been inconclusive. Methods: We examined the relationship between dental status and lung cancer incidence and mortality in the Golestan Cohort Study, a large, prospective cohort of 50,045 adults in northeastern Iran. Cox proportional hazards models were used to estimate hazard ratios (HRs) and 95% confidence intervals (CIs) for associations between three dental health measures (i.e., number of missing teeth; the sum of decayed, missing, or filled teeth (DMFT); and toothbrushing frequency) and lung cancer incidence or mortality with adjustment for multiple potential confounders, including cigarette smoking and opium use. We created tertiles of the number of lost teeth/DMFT score in excess of the loess adjusted, age- and sex-specific predicted numbers, with subjects with the expected number of lost teeth/DMFT or fewer as the reference group. Results: During a median follow-up of 14 years, there were 119 incident lung cancer cases and 98 lung cancer deaths. Higher DMFT scores were associated with a progressively increased risk of lung cancer (linear trend, p = 0.011). Compared with individuals with the expected DMFT score or less, the HRs were 1.27 (95% CI: 0.73, 2.22), 2.15 (95% CI: 1.34, 3.43), and 1.52 (95% CI: 0.81, 2.84) for the first to the third tertiles of DMFT, respectively. The highest tertile of tooth loss also had an increased risk of lung cancer, with a HR of 1.68 (95% CI: 1.04, 2.70) compared with subjects with the expected number of lost teeth or fewer (linear trend, p = 0.043). The results were similar for lung cancer mortality and did not change substantially when the analysis was restricted to never users of cigarettes or opium. We found no associations between toothbrushing frequency and lung cancer incidence or mortality. Conclusion: Poor dental health indicated by tooth loss or DMFT, but not lack of toothbrushing, was associated with increased lung cancer incidence and mortality in this rural Middle Eastern population

The Association Between Inflammatory Bowel Disease and All-Cause and Cause-Specific Mortality in the UK Biobank

PURPOSE: Inflammatory bowel disease (IBD) has a rising global prevalence. However, the understanding of its impact on mortality remains inconsistent so we explored the association between IBD and all-cause and cause-specific mortality. METHODS: This study included 502,369 participants from the UK Biobank, a large, population-based, prospective cohort study with mortality data through 2022. IBD was defined by baseline self-report or from primary care or hospital admission data. We estimated hazard ratios (HRs) and 95% confidence intervals (CIs) for all-cause and cause-specific mortality in multivariable Cox proportional hazards regression models. RESULTS: A total of 5799 (1.2%) participants had a history of IBD at baseline. After a median follow-up of 13.7 years, 44,499 deaths occurred. Having IBD was associated with an increased risk of death from all causes (HR = 1.16, 95% CI = 1.07-1.24) and cancer (HR = 1.16, 95% CI = 1.05-1.30), particularly colorectal cancer (CRC) (HR = 1.56, 95% CI = 1.17-2.09). We observed elevated breast cancer mortality rates for individuals with Crohn\u27s disease, and increased CRC mortality rates for individuals with ulcerative colitis. In stratified analyses of IBD and all-cause mortality, mortality risk differed by individuals\u27 duration of IBD, age at IBD diagnosis, body mass index (BMI) (PHeterogeneity = 0.03) and smoking status (PHeterogeneity = 0.01). Positive associations between IBD and all-cause mortality were detected in individuals diagnosed with IBD for 10 years or longer, those diagnosed before the age of 50, all BMI subgroups except obese individuals, and in never or current, but not former smokers. CONCLUSIONS: We found that having IBD was associated with increased risks of mortality from all causes, all cancers, and CRC. This underscores the importance of enhanced patient management strategies and targeted prevention efforts in individuals with IBD

Stability of the homology of the moduli spaces of Riemann surfaces with spin structure

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46234/1/208_2005_Article_BF01446896.pd

Intersection form, laminations and currents on free groups

Let $F_N$ be a free group of rank $N\ge 2$, let $\mu$ be a geodesic current on $F_N$ and let $T$ be an $\mathbb R$-tree with a very small isometric action of $F_N$. We prove that the geometric intersection number $$ is equal to zero if and only if the support of $\mu$ is contained in the dual algebraic lamination $L^2(T)$ of $T$. Applying this result, we obtain a generalization of a theorem of Francaviglia regarding length spectrum compactness for currents with full support. As another application, we define the notion of a \emph{filling} element in $F_N$ and prove that filling elements are "nearly generic" in $F_N$. We also apply our results to the notion of \emph{bounded translation equivalence} in free groups.Comment: revised version, to appear in GAF

How should we store avian faecal samples for microbiota analyses? Comparing efficacy and cost-effectiveness

Analyses of bacterial DNA in faecal samples are becoming ever more common, yet we still do not know much about bird microbiomes. These challenges partly lie in the unique chemical nature of their faeces, and in the choice of sample storage method, which affects DNA preservation and the resulting microbiome composition. However, there is little information available on how best to preserve avian faeces for microbial analyses. This study evaluates five widely used methods for preserving nucleic acids and inferring microbiota profiles, for their relative efficacy, cost, and practicality. We tested the five methods (in-situ bead-beating with a TerraLyzer instrument, silica-bead desiccation, ethanol, refrigeration and RNAlater buffer) on 50 fresh faecal samples collected from captive House sparrows (Passer domesticus). In line with other studies, we find that different storage methods lead to distinct bacterial profiles. Storage method had a large effect on community composition and the relative abundance of dominant phyla such as Firmicutes and Proteobacteria, with the most significant changes observed for refrigerated samples. Furthermore, differences in the abundance of aerobic or facultatively aerobic taxa, particularly in refrigerated samples and those stored in ethanol, puts limits on comparisons of bacterial communities across different storage methods. Finally, the methods that did not include in-situ bead-beating did not recover comparable levels of microbiota to the samples that were immediately processed and preserved using a TerraLyzer device. However, this method is also less practical and more expensive under field work circumstances. Our study is the most comprehensive analysis to date on how storage conditions affect subsequent molecular assays applied to avian faeces and provides guidance on cost and practicality of methods under field conditions