Results 71 to 80 of about 13,820 (216)

Thurston obstructions and tropical geometry

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 8, Page 2404-2428, August 2025.
Abstract We describe an application of tropical moduli spaces to complex dynamics. A post‐critically finite branched covering φ$\varphi$ of S2$S^2$ induces a pullback map on the Teichmüller space of complex structures of S2$S^2$; this descends to an algebraic correspondence on the moduli space of point‐configurations of P1$\mathbb {P}^1$.
Rohini Ramadas
wiley   +1 more source

MLD Relations of Pisot Substitution Tilings

open access: yes, 2010
We consider 1-dimensional, unimodular Pisot substitution tilings with three intervals, and discuss conditions under which pairs of such tilings are locally isomorhphic (LI), or mutually locally derivable (MDL).
Arnoux P   +5 more
core   +1 more source

The (outer) automorphism group of a group extension

open access: yesBulletin of the Belgian Mathematical Society - Simon Stevin, 2002
Let \(G\) be a group, \(K\) a normal subgroup of \(G\) and \(Q\cong G/K\). In other words, \(G\) is an extension of \(K\) by \(Q\). Each automorphism of \(G\) which sends \(K\) into itself induces automorphisms respectively on \(K\) and on \(Q\). This subgroup of \(\Aut(G)\) is denoted by \(\Aut(G,K)\).
openaire   +3 more sources

Rigidity and Toledo Invariant for Spin*(8)-Higgs Bundles

open access: yesMathematics
In this paper, we study Spin*(8)-Higgs bundles over compact Riemann surfaces, extending the work of Bradlow, García-Prada, and Gothen on SO*(8). The group Spin*(8) is exceptional among classical real forms, as its complexification Spin(8,C) admits ...
Álvaro Antón-Sancho
doaj   +1 more source

General infinitesimal variations of the Hodge structure of ample curves in surfaces

open access: yesMathematische Nachrichten, Volume 298, Issue 7, Page 2282-2308, July 2025.
Abstract Given a smooth projective complex curve inside a smooth projective surface, one can ask how its Hodge structure varies when the curve moves inside the surface. In this paper, we develop a general theory to study the infinitesimal version of this question in the case of ample curves.
Víctor González‐Alonso, Sara Torelli
wiley   +1 more source

Outer automorphisms of ordered permutation groups [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 1975
A well-known fact is that every automorphism of the symmetric group on a set must be inner (whether the set is finite or infinite) unless the set has exactly six elements (4, § 13). A long-standing conjecture concerns the analogue of this fact for the group A(S) of all order-preserving permutations of a totally ordered set S.
openaire   +1 more source

Code construction and ensemble holography of simply-laced WZW models at level 1

open access: yesJournal of High Energy Physics
We introduce a code construction for Wess-Zumino-Witten (WZW) models associated with simply-laced affine Lie algebras at level 1. The chiral primary fields of these rational CFTs can be parametrized by the elements of the outer automorphism group of the ...
Nikolaos Angelinos
doaj   +1 more source

Pigmentation and Retinal Pigment Epithelium Thickness: A Study of the Phenotypic and Genotypic Relationships Between Ocular and Extraocular Pigmented Tissues

open access: yesPigment Cell &Melanoma Research, Volume 38, Issue 4, July 2025.
ABSTRACT The retinal pigment epithelium (RPE) is a specialised monolayer of pigmented epithelial cells in the outer retina. The extent to which RPE pigmentation is related to that of other tissues remains unclear. We utilised RPE thickness measured using optical coherence tomography (OCT) imaging as an indicator of RPE melanin content.
Thomas H Julian   +4 more
wiley   +1 more source

CP-like symmetry with discrete and continuous groups and CP violation/restoration

open access: yesJournal of High Energy Physics
We study physical implications of general CP symmetry including CP-like symmetry. Various scattering amplitudes of CP asymmetry are calculated in CP-like symmetric models.
Hiroshi Ohki, Shohei Uemura
doaj   +1 more source

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