Let p ∈ Z p\in {\mathbb {Z}} be an odd prime. We show that the fiber sequence for the cyclotomic trace of the sphere spectrum S {\mathbb {S}} admits an “eigensplitting” that generalizes known splittings on K K -theory and T C TC . We identify the summands in the fiber as the covers of Z p {\mathbb {Z}}_{p} -Anderson duals of summands in the K ( 1 ) K(1) -localized algebraic K K -theory of Z {\mathbb {Z}} . Analogous results hold for the ring Z {\mathbb {Z}} where we prove that the K ( 1 ) K(1) -localized fiber sequence is self-dual for Z p {\mathbb {Z}}_{p} -Anderson duality, with the duality permuting the summands by i ↦ p − i i\mapsto p-i (indexed mod p − 1 p-1 ). We explain an intrinsic characterization of the summand we call Z Z in the splitting T C ( Z ) p ∧ ≃ j ∨ Σ j ′ ∨ Z TC({\mathbb {Z}})^{\wedge }_{p}\simeq j \vee \Sigma j’\vee Z in terms of units in the p p -cyclotomic tower of Q p {\mathbb {Q}}_{p} .
more »
« less
This content will become publicly available on May 9, 2025
Tuning the redox profile of the 6,6′-biazulenic platform through functionalization along its molecular axis
The one-step, two-electron reversible reduction of the 6,6′-biazulenic scaffold functionalized along its molecular axis is quantitatively tunable within a wide range of potentials.
more » « less- PAR ID:
- 10542659
- Publisher / Repository:
- Royal Society of Chemistry
- Date Published:
- Journal Name:
- Chemical Communications
- Volume:
- 60
- Issue:
- 39
- ISSN:
- 1359-7345
- Page Range / eLocation ID:
- 5213 to 5216
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
More Like this
-
-
Abstract. We study the p-rank stratification of the moduli space of cyclic degree ! covers of the projective line in characteristic p for distinct primes p and !. The main result is about the intersection of the p-rank 0 stratum with the boundary of the moduli space of curves. When ! = 3 and p ≡ 2 mod 3 is an odd prime, we prove that there exists a smooth trielliptic curve in characteristic p, for every genus g, signature type (r,s), and p-rank f satisfying the clear necessary conditions.more » « less
-
more » « less
Abstract Aim As a continental island, much of the biota of New Zealand was initially thought to have been shaped by vicariance. Recent studies, however, have highlighted the role of dispersal, with some even suggesting that the entire biota is the product of dispersal events following emergence of the islands. This study focuses on the interplay between dispersal and vicariance, specifically asking whether the spider family Orsolobidae has Gondwanan origins on New Zealand.
Location The spider family Orsolobidae was sampled from all continents where they occur (Africa, Australia, New Zealand and South America), comprising a total of 66 specimens representing the phylogenetic diversity of the family.
Methods DNA sequences were obtained from six fragments that were subsequently aligned and analysed withMrBayes 3.2 andbeast 1.8. The phylogeny was calibrated with fossils used as node calibrations, as well as with the substitution rate of Histone H3.Results The orsolobid fauna of each land mass except Australia forms a monophyletic group in our analyses. The divergence dating analysis suggests that diversification of Orsolobidae started at a minimum of 80 Ma, while the New Zealand clade dates from a minimum of 40 Ma.
Main conclusions Thus, while many taxa have colonized the islands by dispersal, certain lineages, including the Orsolobidae, have clearly been capable of persisting through times of reduced land area.
-
more » « less
Abstract Background Rabies virus (RABV) is the etiologic agent of rabies, a fatal brain disease in mammals. Rabies circulation has historically involved the dog has the main source of human rabies worldwide. Nevertheless, in Colombia, cats (
Felis catus ) have become a relevant species in the epidemiology of rabies.Aims To characterize rabies cases in humans in Colombia in the last three decades in the context of the epidemiology of the aggressor animal.
Materials and Methods We conducted a retrospective longitudinal epidemiological study of human rabies caused by cats’ aggression, collecting primary and secondary information. Variables considered included the demography of the patient, symptoms, information about the aggressor animal as the source of infection and the viral variant identified.
Results We found that the distribution of rabies incidence over the years has been constant in Colombia. Nevertheless, between 2003 and 2012 a peak of cases occurred in rural Colombia where cats were the most frequent aggressor animal reported. Most cats involved in aggression were unvaccinated against rabies. Cat's clinical signs at the time of the report of the human cases included hypersalivation and changes in behaviour. Human patients were mostly children and female and the exposure primarily corresponded to bite and puncture lacerations in hands. The RABV lineage detected in most cases corresponded to variant 3, linked to the common vampire bat (
Desmodus rotundus ). The geographical presentation of cat borne RABV in humans occurred along the Andes mountains, epidemiologically known as the rabies red Andean corridor.Discussion By finding cats as the primary source of rabies spillover transmission in Colombia, this report highlights the importance of revising national rabies control and prevention protocol in countries in the Andes region.
Conclusion Our results demonstrate that rabies vaccination for outdoor cats needs to prioritize to reduce the number of rabies‐related human deaths.
-
Abstract This article considers a long-outstanding open question regarding the Jacobian determinant for the relativistic Boltzmann equation in the center-of-momentum coordinates. For the Newtonian Boltzmann equation, the center-of-momentum coordinates have played a large role in the study of the Newtonian non-cutoff Boltzmann equation, in particular we mention the widely used cancellation lemma [1]. In this article we calculate specifically the very complicated Jacobian determinant, in ten variables, for the relativistic collision map from the momentum p to the post collisional momentum $$p'$$ p ′ ; specifically we calculate the determinant for $$p\mapsto u = \theta p'+\left( 1-\theta \right) p$$ p ↦ u = θ p ′ + 1 - θ p for $$\theta \in [0,1]$$ θ ∈ [ 0 , 1 ] . Afterwards we give an upper-bound for this determinant that has no singularity in both p and q variables. Next we give an example where we prove that the Jacobian goes to zero in a specific pointwise limit. We further explain the results of our numerical study which shows that the Jacobian determinant has a very large number of distinct points at which it is machine zero. This generalizes the work of Glassey-Strauss (1991) [8] and Guo-Strain (2012) [12]. These conclusions make it difficult to envision a direct relativistic analog of the Newtonian cancellation lemma in the center-of-momentum coordinates.more » « less
