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作者：Even-Zohar, Chaim; Lakrec, Tsviqa; Tessler, Ran J.
作者单位：Technion Israel Institute of Technology; University of Zurich; Weizmann Institute of Science
摘要：The amplituhedron An,k,4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal{A}_{n,k,4}$\end{document} is a geometric object, introduced by Arkani-Hamed and Trnka (2013) in the study of scattering amplitudes in quantum field theories. They conjecture that An,k,4\documentclass[12pt]{minimal} \usepackage{amsmath} ...
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作者：Horbez, Camille
作者单位：Centre National de la Recherche Scientifique (CNRS); Universite Paris Saclay
摘要：Let G=G1 & lowast;& mldr;& lowast;Gk & lowast;F\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$G=G_{1}\ast \dots \ast G_{k}\ast F$\end{document} be a countable group which splits as a free product, where all groups Gi\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepa...
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作者：Crowley, Diarmuid; Goette, Sebastian; Nordstrom, Johannes
作者单位：University of Melbourne; University of Freiburg; University of Bath
摘要：We prove that the moduli space of holonomy G2-metrics on a closed 7-manifold can be disconnected by presenting a number of explicit examples. We detect different connected components of the G2-moduli space by defining an analytic refinement nu(M, g). Z of the defect invariant nu(M,phi)is an element of Z/48-structures. on a closed 7-manifold M introduced by the first and third authors. The nu-invariant is defined using.-invariants and Mathai-Quillen currents on M and we compute it for twisted c...
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作者：Kartal, Yusuf Baris
作者单位：University of Edinburgh
摘要：Inspired by the work of Bell on the dynamical Mordell-Lang conjecture, and by family Floer cohomology, we construct p-adic analytic families of bimodules on the Fukaya category of a monotone or negatively monotone symplectic manifold, interpolating the bimodules corresponding to iterates of a symplectomorphism f isotopic to the identity. This family can be thought of as a p-adic analytic action on the Fukaya category. Using this, we deduce that the ranks of the Floer cohomology groups HF(phi k...
