Hodge-Riemann Relations for Polytopes: A Geometric Approach

Autor: Barthel, G., -P-Brasselet, J., Fieseler, K. -H., Kaup, L.

The paper presents a proof of the Hodge Riemann relations for the combinatorial intersection cohomology of a polytope, as fist given by K.Karu, in terms of geometric operations on polytopes.
Comment: 29 pages

Externí odkaz: http://arxiv.org/abs/math/0602411

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Spatial mapping of cellular senescence: emerging challenges and opportunities.

Autor: Gurkar AU; Aging Institute, University of Pittsburgh School of Medicine/UPMC and Division of Pulmonary, Allergy and Critical Care Medicine, Allergy, Critical Care and Sleep Medicine, Department of Medicine, University of Pittsburgh, Pittsburgh, PA, USA., Gerencser AA; Buck Institute for Research on Aging, Novato, CA, USA., Mora AL; Dorothy M. Davis Heart and Lung Research Institute, Division of Pulmonary, Critical Care and Sleep Medicine, Department of Internal Medicine, the Ohio State University, Columbus, OH, USA., Nelson AC; Department of Laboratory Medicine and Pathology, Department of Biochemistry, Molecular Biology and Biophysics, Department of Neuroscience and Institute on the Biology of Aging and Metabolism, Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, MN, USA., Zhang AR; Division of Pulmonary, Allergy, and Critical Care Medicine, Department of Medicine and Department of Biostatistics and Bioinformatics, Duke University School of Medicine, Durham, NC, USA., Lagnado AB; Department of Physiology and Biomedical Engineering, Robert and Arlene Kogod Center on Aging, Mayo Clinic, Rochester, MN, USA., Enninful A; Department of Biomedical Engineering, Yale University, New Haven, CT, USA., Benz C; Buck Institute for Research on Aging, Novato, CA, USA., Furman D; Buck Institute for Research on Aging, Novato, CA, USA.; Stanford 1000 Immunomes Project, Stanford School of Medicine, Stanford University, Stanford, CA, USA.; Instituto de Investigaciones en Medicina Traslacional (IIMT), Universidad Austral, Pilar, Argentina., Beaulieu D; Aging Institute, University of Pittsburgh School of Medicine/UPMC and Division of Pulmonary, Allergy and Critical Care Medicine, Allergy, Critical Care and Sleep Medicine, Department of Medicine, University of Pittsburgh, Pittsburgh, PA, USA., Jurk D; Department of Physiology and Biomedical Engineering, Robert and Arlene Kogod Center on Aging, Mayo Clinic, Rochester, MN, USA., Thompson EL; Department of Laboratory Medicine and Pathology, Department of Biochemistry, Molecular Biology and Biophysics, Department of Neuroscience and Institute on the Biology of Aging and Metabolism, Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, MN, USA., Wu F; Buck Institute for Research on Aging, Novato, CA, USA., Rodriguez F; Department of Laboratory Medicine and Pathology, Department of Biochemistry, Molecular Biology and Biophysics, Department of Neuroscience and Institute on the Biology of Aging and Metabolism, Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, MN, USA., Barthel G; Department of Laboratory Medicine and Pathology, Department of Biochemistry, Molecular Biology and Biophysics, Department of Neuroscience and Institute on the Biology of Aging and Metabolism, Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, MN, USA., Chen H; Computational Biology Department, School of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA., Phatnani H; Columbia University Irving Medical Center and New York Genome Center, Columbia University, New York, NY, USA., Heckenbach I; Buck Institute for Research on Aging, Novato, CA, USA., Chuang JH; The Jackson Laboratory for Genomic Medicine, Farmington, CT, USA., Horrell J; Department of Molecular Biology, Cell Biology and Biochemistry, Brown University, Providence, RI, USA., Petrescu J; Columbia University Irving Medical Center and New York Genome Center, Columbia University, New York, NY, USA., Alder JK; Aging Institute, University of Pittsburgh School of Medicine/UPMC and Division of Pulmonary, Allergy and Critical Care Medicine, Allergy, Critical Care and Sleep Medicine, Department of Medicine, University of Pittsburgh, Pittsburgh, PA, USA., Lee JH; Department of Molecular and Integrative Physiology, University of Michigan Medical School, Ann Arbor, MI, USA., Niedernhofer LJ; Department of Laboratory Medicine and Pathology, Department of Biochemistry, Molecular Biology and Biophysics, Department of Neuroscience and Institute on the Biology of Aging and Metabolism, Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, MN, USA., Kumar M; Department of Radiology, Molecular Imaging Program at Stanford, Stanford University, Stanford, CA, USA., Königshoff M; Aging Institute, University of Pittsburgh School of Medicine/UPMC and Division of Pulmonary, Allergy and Critical Care Medicine, Allergy, Critical Care and Sleep Medicine, Department of Medicine, University of Pittsburgh, Pittsburgh, PA, USA., Bueno M; Aging Institute, University of Pittsburgh School of Medicine/UPMC and Division of Pulmonary, Allergy and Critical Care Medicine, Allergy, Critical Care and Sleep Medicine, Department of Medicine, University of Pittsburgh, Pittsburgh, PA, USA., Sokka M; Department of Molecular Biology, Cell Biology and Biochemistry, Brown University, Providence, RI, USA., Scheibye-Knudsen M; Buck Institute for Research on Aging, Novato, CA, USA., Neretti N; Department of Molecular Biology, Cell Biology and Biochemistry, Brown University, Providence, RI, USA., Eickelberg O; Aging Institute, University of Pittsburgh School of Medicine/UPMC and Division of Pulmonary, Allergy and Critical Care Medicine, Allergy, Critical Care and Sleep Medicine, Department of Medicine, University of Pittsburgh, Pittsburgh, PA, USA., Adams PD; Sanford Burnham Prebys Medical Discovery Institute, La Jolla, CA, USA., Hu Q; Aging Institute, University of Pittsburgh School of Medicine/UPMC and Division of Pulmonary, Allergy and Critical Care Medicine, Allergy, Critical Care and Sleep Medicine, Department of Medicine, University of Pittsburgh, Pittsburgh, PA, USA., Zhu Q; University of California, San Diego, CA, USA., Porritt RA; Sanford Burnham Prebys Medical Discovery Institute, La Jolla, CA, USA., Dong R; Department of Biochemistry, Institute for Protein Design and Graduate Program in Biological Physics, Structure and Design, University of Washington, Seattle, WA, USA., Peters S; Department of Laboratory Medicine and Pathology, Department of Biochemistry, Molecular Biology and Biophysics, Department of Neuroscience and Institute on the Biology of Aging and Metabolism, Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, MN, USA., Victorelli S; Department of Physiology and Biomedical Engineering, Robert and Arlene Kogod Center on Aging, Mayo Clinic, Rochester, MN, USA., Pengo T; Department of Laboratory Medicine and Pathology, Department of Biochemistry, Molecular Biology and Biophysics, Department of Neuroscience and Institute on the Biology of Aging and Metabolism, Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, MN, USA., Khaliullin T; Dorothy M. Davis Heart and Lung Research Institute, Division of Pulmonary, Critical Care and Sleep Medicine, Department of Internal Medicine, the Ohio State University, Columbus, OH, USA., Suryadevara V; Department of Radiology, Molecular Imaging Program at Stanford, Stanford University, Stanford, CA, USA., Fu X; Department of Biochemistry, Institute for Protein Design and Graduate Program in Biological Physics, Structure and Design, University of Washington, Seattle, WA, USA., Bar-Joseph Z; Computational Biology Department, School of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA., Ji Z; Division of Pulmonary, Allergy, and Critical Care Medicine, Department of Medicine and Department of Biostatistics and Bioinformatics, Duke University School of Medicine, Durham, NC, USA., Passos JF; Department of Physiology and Biomedical Engineering, Robert and Arlene Kogod Center on Aging, Mayo Clinic, Rochester, MN, USA. passos.joao@mayo.edu.

Publikováno v: Nature aging [Nat Aging] 2023 Jul; Vol. 3 (7), pp. 776-790. Date of Electronic Publication: 2023 Jul 03.

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