The Rel Leaf and Real-rel Ray of the Arnoux-yoccoz Surface in Genus 3
نویسندگان
چکیده
We analyze the rel leaf of the Arnoux-Yoccoz translation surface in genus 3. We show that the leaf is dense in the stratum Hp2, 2q but that the real-rel trajectory of the surface is divergent. On this real-rel trajectory, the vertical foliation of one surface is invariant under a pseudo-Anosov map (and in particular is uniquely ergodic), but the vertical foliations on all other surfaces are completely periodic.
منابع مشابه
Rel Leaves of the Arnoux-yoccoz Surfaces W. Patrick Hooper and Barak Weiss, with an Appendix by Lior Bary-soroker, Mark Shusterman, and Umberto Zannier
We analyze the rel leaves of the Arnoux-Yoccoz translation surfaces. We show that for any genus g ě 3, the leaf is dense in the connected component of the stratum Hpg ́1,g ́1q to which it belongs, and the one-sided imaginary-rel trajectory of the surface is divergent. For one surface on this trajectory, namely the ArnouxYoccoz surface itself, the horizontal foliation is invariant under a pseudo-A...
متن کاملInvestigation of the Effect of Lactobacillus Brevis Bacteria on the Expression of Rel A, IKB, and Casp3 Genes in HT29 Colon Cancer Cells
Aims Studies have shown that probiotic bacteria inhibit the onset and progression of carcinogenesis through different pathways. Our objective in this study was to determine the effect of probiotic bacteria on the expression of growth-related genes Rel A, IKB, and Casp3 in HT29 colon cancer cells Methods & Materials In this study, the Lactobacillus brevis probiotic bacteria were first cultured,...
متن کاملMinimality and Nonergodicity on a Family of Flat Surfaces in Genus 3
We prove that a certain family of flat surfaces in genus 3 does not fulfill Veech’s Dichotomy. These flat surfaces provide uncountably many minimal but nonergodic directions. The conditions on this family are a combinatorical one and an irrationality condition. The Arnoux-Yoccoz surface fulfills this conditions.
متن کاملStructure and dimorphism of c-rel (turkey), the cellular homolog to the oncogene of reticuloendotheliosis virus strain T.
A locus has been identified in turkey DNA that contains nucleotide sequences homologous to the oncogene (v-rel) in the avian retrovirus, reticuloendotheliosis virus strain T. This locus, c-rel, has been molecularly cloned from an apparently heterozygous turkey. c-rel is approximately 23 kilobase pairs in length, with at least seven apparent introns, and contains sequences sufficient to account ...
متن کاملRel-deficient T cells exhibit defects in production of interleukin 3 and granulocyte-macrophage colony-stimulating factor.
The c-rel protooncogene encodes a subunit of the NF-kappa B-like family of transcription factors. Mice lacking Rel are defective in mitogenic activation of B and T lymphocytes and display impaired humoral immunity. In an attempt to identify changes in gene expression that accompany the T-cell stimulation defects associated with the loss of Rel, we have examined the expression of cell surface ac...
متن کامل