Subscription journal ISSN (Print) 1435-9863 - ISSN (Online) 1435-9855 This journal is no longer being updated because: RSS feed has been removed by publisher
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Frédéric Déglise; Fangzhou Jin, Adeel A. Khan Abstract: Frédéric Déglise, Fangzhou Jin, Adeel A. KhanWe develop the theory of fundamental classes in the setting of motivic homotopy theory.Using this we construct, for any motivic spectrum, an associated twisted bivariant theory, extendingthe formalism of Fulton and MacPherson. We import the tools of Fulton’s intersection theoryinto this setting: (refined) Gysin maps, specialization (...) PubDate: Wed, 15 Sep 2021 23:45:04 +020
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William Duke; Özlem Imamoglu, Árpad Tóth Abstract: William Duke, Özlem Imamoglu, Árpad TóthIn a little-known paper Hurwitz gave an infinite series representation of the class numberfor positive definite binary quadratic forms. In this paper we give a similar formula in the indefinitecase. We also give a simple proof of Hurwitz’s formula and indicate some extensions. PubDate: Wed, 15 Sep 2021 23:45:04 +020
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Hajer Bahouri; Alaa Marachli, Galina Perelman Abstract: Hajer Bahouri, Alaa Marachli, Galina PerelmanIn this article, we establish the existence of a family of hypersurfaces $(\Gamma(t))_{0< t \leq T}$ that evolve by the vanishing mean curvature flow in Minkowski space and that, as $t$ tends to $0$, blow up towards a hypersurface that behaves like the Simons cone both near the origin and at infinity. This issue amounts to singularity (...) PubDate: Wed, 15 Sep 2021 23:45:04 +020
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Authors:
Tamás Darvas
Abstract: Tamás DarvasGiven a compact Kähler manifold, we prove that all global isometries of the space ofKähler metrics are induced by biholomorphisms and anti-biholomorphisms of the manifold. In particular,there exist no global symmetries for Mabuchi’s metric. Moreover, we show that the Mabuchicompletion does not even admit local symmetries. Closely related to these findings, we provide (...) PubDate: Wed, 15 Sep 2021 23:45:04 +020
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Richard Hain
Abstract: Richard HainIn this paper we show that, after completing in the $I$-adic topology, the Turaev cobracketon the vector space freely generated by the closed geodesics on a smooth, complex algebraiccurve $X$ with a quasi-algebraic framing is a morphism of mixed Hodge structure. We combinethis with results of a previous paper on the Goldman bracket to construct torsors of solutions tothe (...) PubDate: Wed, 15 Sep 2021 23:45:04 +020
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Aleksis Koski; Jani Onninen Abstract: Aleksis Koski, Jani OnninenLet $\mathbb{X}$ and $\mathbb{Y}$ be $\ell$-connected Jordan domains, $\ell \in \mathbb{N}$, with rectifiable boundaries in the complex plane. We prove that any boundary homeomorphism $\varphi \colon \partial \mathbb{X} \xrightarrow[]{{}_{\!\!\textnormal{onto\,\,}\!\!}} \partial \mathbb{Y}$ admits a Sobolev homeomorphic extension $h \colon \overline{\mathbb{X}} (...) PubDate: Wed, 15 Sep 2021 23:45:04 +020
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Jessica Fintzen
Abstract: Jessica FintzenLet $K$ be a maximal unramified extension of a non-archimedean local field with arbitrary residual characteristic $p$. Let $G$ be a reductive group over $K$ which splits over a tamely ramified extension of $K$. We show that the associated Moy–Prasad filtration representations are in a certain sense independent of $p$. We also establish descriptions of these (...) PubDate: Wed, 15 Sep 2021 23:45:04 +020
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David Fisher; Jean-François Lafont, Nicholas Miller, Matthew Stover Abstract: David Fisher, Jean-François Lafont, Nicholas Miller, Matthew StoverWe show that large classes of non-arithmetic hyperbolic $n$-manifolds, including the hybrids introduced by Gromov and Piatetski-Shapiro and many of their generalizations, have only finitely many finite-volume immersed totally geodesic hypersurfaces. In higher codimension, we prove finiteness for geodesic submanifolds of (...) PubDate: Thu, 09 Sep 2021 23:45:03 +020
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Authors:
Constantin Teleman
Abstract: Constantin TelemanI give a simple construction of the Coulomb branches ${\mathscr{C}_{3,4}(G;E)}$ of gauge theoryin three and four dimensions, defined by H. Nakajima [Adv. Theor. Math. Phys. 20 (2016)] and A. Braverman, M. Finkelberg and H. Nakajima [Adv. Theor. Math. Phys. 22 (2018)] for a compact Liegroup $G$ and a polarizable quaternionic representation $E$. The manifolds (...) PubDate: Thu, 09 Sep 2021 23:45:03 +020
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Johan Taflin
Abstract: Johan TaflinIn this paper we show that if $p$ is a polynomial of degree $d\geq2$ possessing a neutral periodic point then a product map of the form $(z,w)\mapsto(p(z),q(w))$ can be approximated by polynomial skew products $(z,w)\mapsto(\tilde{p}(z,w),q(w))$ possessing special dynamical objects called blenders. Moreover, these objects can be chosen to be of two types: repelling or saddle. As (...) PubDate: Thu, 09 Sep 2021 23:45:03 +020
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