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Related papers: The p-local stable Adams conjecture: Erratum

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There is an error in the proof (but not the truth) of Theorem 3.2 in the author's 1985 paper "The Double-Wedge Algebra for Quantum Fields on Schwarzschild and Minkowski Spacetimes" in "Communications in Mathematical Physics". The author…

Mathematical Physics · Physics 2025-06-23 Bernard S. Kay

We construct a functor from the category of p-adic etale local systems on a smooth rigid analytic variety X over a p-adic field to the category of vector bundles with an integrable connection over its "base change to B_dR", which can be…

Algebraic Geometry · Mathematics 2017-03-08 Ruochuan Liu , Xinwen Zhu

A p-local compact group is an algebraic object modelled on the p-local homotopy theory of classifying spaces of compact Lie groups and p-compact groups. In the study of these objects unstable Adams operations, are of fundamental importance.…

Algebraic Topology · Mathematics 2014-10-01 Fabien Junod , Assaf Libman , Ran Levi

The purpose of this erratum is to fill a gap in the proof of the `Composite Braid Theorem' in the manuscript "Studying Links Via Closed Braids IV: Composite Links and Split Links (SLVCB-IV)", Inventiones Math, \{bf 102\} Fasc. 1 (1990),…

Geometric Topology · Mathematics 2009-11-10 Joan S. Birman , William W. Menasco

In a previous paper the second author developed a new approach to the abelian p-adic Stark Conjecture at s=1 and stated some related conjectures. This paper develops and applies techniques using p-adic measures and continued fractions to…

Number Theory · Mathematics 2007-05-23 Xavier-Francois Roblot , David Solomon

By use of a natural extension map and a power series method, we obtain a local stability theorem for p-K\"ahler structures with the $(p,p+1)$-th mild $\partial\bar\partial$-lemma under small differentiable deformations.

Complex Variables · Mathematics 2019-03-14 Sheng Rao , Xueyuan Wan , Quanting Zhao

In this paper, we describe a novel way of identifying Adams spectral sequence $E_2$-terms in terms of homological algebra of quiver representations. Our method applies much more broadly than the standard techniques based on…

Algebraic Topology · Mathematics 2025-04-07 Robert Burklund , Piotr Pstrągowski

This version corrects a number of mistakes that appeared in the previous draft. In particular, the (EU-LREM) condition is sufficient for existence and uniqueness but not necessary, as we had claimed. We are grateful to P. C. B. Phillips and…

Statistics Theory · Mathematics 2025-04-15 Majid M. Al-Sadoon , Piotr Zwiernik

We prove in this paper that every $p$-local compact group is approximated by transporter systems over finite $p$-groups. To do so, we use unstable Adams operations acting on a given $p$-local compact group and study the structure of…

Algebraic Topology · Mathematics 2012-01-17 Alex Gonzalez

In this note we document a gap in an argument in the above paper, and point to new work in the literature giving a complete proof of the main result.

Dynamical Systems · Mathematics 2026-02-24 Jorge Fariña-Asategui , Rafe Jones , Santiago Radi

Using $p$-adic local Langlands correspondence for $\operatorname{GL}_2(\mathbb{Q}_2)$ and an ordinary $R = \mathbb{T}$ theorem, we prove that the support of patched modules for quaternionic forms meet every irreducible component of the…

Number Theory · Mathematics 2021-03-23 Shen-Ning Tung

Two typos in the published paper are pointed out. Both are just typos and the calculations in that paper are based on the correct formulism.

Condensed Matter · Physics 2007-05-23 M. W. Wu

I gave a geometric proof of Vojta's 1 + epsilon conjecture. Some gaps in the published paper were spotted and kindly pointed out to me by Paul Vojta. These were addressed in "Erratum".

Algebraic Geometry · Mathematics 2012-06-05 Xi Chen

We show that local-global compatibility (at split primes) away from $p$ holds at all points of the $p$-adic eigenvariety of a definite $n$-variable unitary group. The novelty is we allow non-classical points, possibly non-\'{e}tale over…

Number Theory · Mathematics 2017-08-04 Christian Johansson , James Newton , Claus Sorensen

This note is a correction to a paper of Cortez, Peskin, Stockie & Varela [SIAM J. Appl. Math., 65(2):494-520, 2004], who studied the stability of a parametrically-forced, circular, elastic fiber immersed in an incompressible fluid in 2D,…

Analysis of PDEs · Mathematics 2014-11-06 William Ko , John M. Stockie

We establish a hidden extension in the Adams spectral sequence converging to the stable homotopy groups of spheres at the prime 2 in the 54-stem. This extension is exceptional in that the only proof we know proceeds via Pstragowski's…

Algebraic Topology · Mathematics 2020-10-21 Robert Burklund

This primarily expository article collects together some facts from the literature about the monodromy of differential equations on a p-adic (rigid analytic) annulus, though often with simpler proofs. These include Matsuda's classification…

Number Theory · Mathematics 2007-05-23 Kiran S. Kedlaya

We correct several errors in Phys. Rev. D 66, 094011 (2002). [arXiv:hep-ph/0205210].

High Energy Physics - Phenomenology · Physics 2015-06-12 Geoffrey T. Bodwin , Andrea Petrelli

These notes give a statement of the "fundamental lemma," which is a conjectural identity between p-adic integrals that arises as part of the Langlands program.

Representation Theory · Mathematics 2007-05-23 Thomas C. Hales

This Comment is in response to an Erratum to the paper entitled "The shape and composition of interstellar silicate grains" (Min et al., A&A, 462, 667-676 (2007). The Erratum corrects erroneously cited data but upholds the paper's original…

Astrophysics · Physics 2009-11-13 J. P. Bradley , H. A. Ishii