3期

最新文章

• Positive scalar curvature and 10/8-type inequalities on 4-manifolds with periodic ends AI翻译
  作者：Konno, Hokuto; Taniguchi, Masaki
  作者单位：University of Tokyo; RIKEN
  摘要：We show 10/8-type inequalities for some end-periodic 4-manifolds which have positive scalar curvature metrics on the ends. As an application, we construct a new family of closed 4-manifolds which do not admit positive scalar curvature metrics.
• Cohomological Donaldson-Thomas theory of a quiver with potential and quantum enveloping algebras AI翻译
  作者：Davison, Ben; Meinhardt, Sven
  作者单位：University of Edinburgh; University of Sheffield
  摘要：This paper concerns the cohomological aspects of Donaldson-Thomas theory for Jacobi algebras and the associated cohomological Hall algebra, introduced by Kontsevich and Soibelman. We prove the Hodge-theoretic categorification of the integrality conjecture and the wall crossing formula, and furthermore realise the isomorphism in both of these theorems as Poincare-Birkhoff-Witt isomorphisms for the associated cohomological Hall algebra. We do this by defining a perverse filtration on the cohomol...
• Undecidability of the word problem for one-relator inverse monoids via right-angled Artin subgroups of one-relator groups AI翻译
  作者：Gray, Robert D.
  作者单位：University of East Anglia
  摘要：We prove the following results: (1) There is a one-relator inverse monoid Inv⟨A|w=1⟩\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm {Inv}\langle A\,|\,w=1 \rangle $$\end{document} with undecidable word problem; and (2) There are one-relator groups with undecidable submonoid membership problem. The second ...
• Cohomology of p-adic Stein spaces AI翻译
  作者：Colmez, Pierre; Dospinescu, Gabriel; Niziol, Wieslawa
  作者单位：Centre National de la Recherche Scientifique (CNRS); Universite Paris Cite; Sorbonne Universite; Centre National de la Recherche Scientifique (CNRS); Ecole Normale Superieure de Lyon (ENS de LYON)
  摘要：We compute p-adic etale and pro-etale cohomologies of Drinfeld half-spaces. In the pro-etale case, the main input is a comparison theorem for p-adic Stein spaces; the cohomology groups involved here are much bigger than in the case of etale cohomology of algebraic varieties or proper analytic spaces considered in all previous works. In the etale case, the classical p-adic comparison theorems allow us to pass to a computation of integral differential forms cohomologies which can be done because...