2025

最新文章

• Exotic Dehn twists and homotopy coherent group actions AI翻译
  作者：Kang, Sungkyung; Park, Junghwan; Taniguchi, Masaki
  作者单位：University of Cambridge; Korea Advanced Institute of Science & Technology (KAIST); Kyoto University
  摘要：We consider the question of extending a smooth homotopy coherent finite cyclic group action on the boundary of a smooth 4-manifold to its interior. As a result, we prove that Dehn twists along any Seifert homology sphere, except the 3-sphere, on their simply connected positive-definite fillings are infinite order exotic.
• Riesz means asymptotics for Dirichlet and Neumann Laplacians on Lipschitz domains AI翻译
  作者：Frank, Rupert L.; Larson, Simon
  作者单位：University of Munich; California Institute of Technology; Chalmers University of Technology; University of Gothenburg
  摘要：We consider the eigenvalues of the Dirichlet and Neumann Laplacians on a bounded domain with Lipschitz boundary and prove two-term asymptotics for their Riesz means of arbitrary positive order. Moreover, when the underlying domain is convex, we obtain universal, non-asymptotic bounds that correctly reproduce the two leading terms in the asymptotics and depend on the domain only through simple geometric characteristics. Important ingredients in our proof are non-asymptotic versions of various T...
• Group actions on contractible 2-complexes II AI翻译
  作者：Piterman, Kevin Ivan; Costa, Ivan Sadofschi
  作者单位：University of Buenos Aires; Vrije Universiteit Brussel
  摘要：In this second part we prove that, if G is one of the groups PSL2(q) with q > 5 and q-5 (mod 24) or q-13 (mod 24), then the fundamental group of every acyclic 2dimensional, fixed point free and finite G-complex admits a nontrivial representation in a unitary group U(m). This completes the proof of the following result: every action of a finite group on a finite and contractible 2-complex has a fixed point.
• Liouville property for groups and conformal dimension AI翻译
  作者：Bon, Nicolas Matte; Nekrashevych, Volodymyr; Zheng, Tianyi
  作者单位：Centre National de la Recherche Scientifique (CNRS); Ecole Centrale de Lyon; Institut National des Sciences Appliquees de Lyon - INSA Lyon; Universite Claude Bernard Lyon 1; Universite Jean Monnet; Texas A&M University System; Texas A&M University College Station; University of California System; University of California San Diego
  摘要：Conformal dimension is a fundamental invariant of metric spaces, particularly suited to the study of self-similar spaces, such as spaces with expanding self-coverings (e.g., Julia sets of complex rational functions). The dynamics of these systems are encoded by the associated iterated monodromy groups, which are examples of contracting self-similar groups. Their amenability is a well-known open question. We show that if G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \...
• On the Serre conjecture for Artin characters in the geometric case AI翻译
  作者：Abe, Tomoyuki
  作者单位：University of Tokyo
  摘要：Let G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$G$\end{document} be a finite group and A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{docum...
• The metamathematics of separated determinacy AI翻译
  作者：Aguilera, J. P.
  作者单位：Technische Universitat Wien; University of Vienna; Ghent University
  摘要：Determinacy axioms are mathematical principles which assert that various infinite games are determined. In this article, we prove three general meta-theorems on the logical strength of determinacy axioms. These allow us to reduce a metamathematical analysis of the principle of Gamma-determinacy over a weak base theory to an analysis of aprinciple Gamma '-determinacy, where Gamma ' is a strictly smaller complexity class than Gamma.Themeta-theorems are proved in the weak theoryRCA0. However, the...
• Every diffeomorphism is a total renormalization of a close to identity map AI翻译
  作者：Berger, Pierre; Gourmelon, Nicolaz; Helfter, Mathieu
  作者单位：Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Sorbonne Universite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite de Bordeaux
  摘要：For any 1 <= r <=infinity\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$1\le r\le \infty $\end{document}, we show that every diffeomorphism of a manifold of the form R/ZxM\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackag...
• Tautological and non-tautological cycles on the moduli space of Abelian varieties AI翻译
  作者：Canning, Samir; Oprea, Dragos; Pandharipande, Rahul
  作者单位：Swiss Federal Institutes of Technology Domain; ETH Zurich; University of California System; University of California San Diego
  摘要：The tautological Chow ring of the moduli space Ag\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal{A}_{g}$\end{document} of principally polarized abelian varieties of dimension g\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbs...
• Group actions on contractible 2-complexes I AI翻译
  作者：Costa, Ivan Sadofschi
  作者单位：University of Buenos Aires
  摘要：In this series of two articles, we prove that every action of a finite group G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$G$\end{document} on a finite and contractible 2-complex has a fixed point. The proof goes by constructing a nontrivial representation of the fundamental group of each of the acyclic 2-dimensi...
• Singular algebraic curves and infinite symplectic staircases AI翻译
  作者：McDuff, Dusa; Siegel, Kyler
  摘要：We show that the infinite staircases which arise in the ellipsoid embedding functions of rigid del Pezzo surfaces (with their monotone symplectic forms) can be entirely explained in terms of rational sesquicuspidal symplectic curves. Moreover, we show that these curves can all be realized algebraically, giving various new families of algebraic curves with one cusp singularity. Our main techniques are (i) a generalized Orevkov twist, and (ii) the interplay between algebraic & Qopf;-Gorenstein s...