Results 51 to 60 of about 871 (172)
Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
Isospectral deformations of Eguchi-Hanson spaces a case study in noncompact noncommutative geometry [PDF]
, 2008 We study the isospectral deformations of the Eguchi-Hanson spaces along a torus isometric action in the noncompact noncommutative geometry. We concentrate on locality, smoothness and summability conditions of the nonunital spectral triples, and relate ...
Yang, Chen
core
Persistent sheaf Laplacian analysis of protein stability and solubility changes upon mutation
Protein Science, Volume 35, Issue 8, August 2026.Abstract Genetic mutations frequently disrupt protein structure, stability, and solubility, acting as primary drivers for a wide spectrum of diseases. Despite the critical importance of these molecular alterations, existing computational models often lack interpretability and fail to integrate essential physicochemical interactions.
Yiming Ren +4 more
wiley +1 more source
The Mathematical History Behind the Granger–Johansen Representation Theorem
Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 587-602, August 2026.ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley +1 more source
Involutory matrices over finite commutative rings [PDF]
, 1978 An n × n matrix A is called involutory iff A2=In, where In is the n × n identity matrix. This paper is concerned with involutory matrices over an arbitrary finite commutative ring R with identity and with the similarity relation among such matrices.
Gamble, R.O. +3 more
core +1 more source
Totally elliptic surface group representations
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract A surface group representation into a Lie group is totally elliptic if every simple closed curve on the surface is mapped to an elliptic element. In this note, we characterize all totally elliptic surface group representations into PSL2R$\operatorname{PSL}_2 \mathbb {R}$ and PSL2C$\operatorname{PSL}_2\mathbb {C}$ by showing that they are ...
Arnaud Maret
wiley +1 more source
A birational description of the minimal exponent
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Qianyu Chen, Mircea Mustaţă
wiley +1 more source
Gorenstein rings and Kustin-Miller unprojection [PDF]
Chapter 1 briefly describes the motivation for the thesis and presents some background material. Chapter 2 develops the foundations of the theory of unprojection in the local and projective settings.
Papadakis, Stavros
core
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract Differential categories provide the categorical foundations for the algebraic approaches to differentiation. They have been successful in formalizing various important concepts related to differentiation, such as, in particular, derivations. In this paper, we show that the differential modality of a differential category lifts to a monad on ...
Jean‐Simon Pacaud Lemay, Chiara Sava
wiley +1 more source
A Theory of Permutation Polynomials Using Compositional Attractors [PDF]
, 1990 In this work I will develop a theory of permutation polynomials with coefficients over finite commutative rings. The general situation will be that we have a finite ring R and a ring S, both with 1, with S commutative, and with a scalar multiplication ...
Ashlock, Daniel Abram
core +1 more source