Results 31 to 40 of about 146 (125)

Link splitting deformation of colored Khovanov–Rozansky homology

open access: yesProceedings of the London Mathematical Society, Volume 129, Issue 3, September 2024.
Abstract We introduce a multiparameter deformation of the triply‐graded Khovanov–Rozansky homology of links colored by one‐column Young diagrams, generalizing the “y$y$‐ified” link homology of Gorsky–Hogancamp and work of Cautis–Lauda–Sussan. For each link component, the natural set of deformation parameters corresponds to interpolation coordinates on ...
Matthew Hogancamp   +2 more
wiley   +1 more source

Foundations of the wald space for phylogenetic trees

open access: yesJournal of the London Mathematical Society, Volume 109, Issue 5, May 2024.
Abstract Evolutionary relationships between species are represented by phylogenetic trees, but these relationships are subject to uncertainty due to the random nature of evolution. A geometry for the space of phylogenetic trees is necessary in order to properly quantify this uncertainty during the statistical analysis of collections of possible ...
Jonas Lueg   +3 more
wiley   +1 more source

The forbidden region for random zeros: Appearance of quadrature domains

open access: yesCommunications on Pure and Applied Mathematics, Volume 77, Issue 3, Page 1766-1849, March 2024.
Abstract Our main discovery is a surprising interplay between quadrature domains on the one hand, and the zeros of the Gaussian Entire Function (GEF) on the other. Specifically, consider the GEF conditioned on the rare hole event that there are no zeros in a given large Jordan domain.
Alon Nishry, Aron Wennman
wiley   +1 more source

On CCGG, the De Donder‐Weyl Hamiltonian formulation of canonical gauge gravity

open access: yesAstronomische Nachrichten, Volume 345, Issue 2-3, February-March 2024.
Abstract This short paper gives a brief overview of the manifestly covariant canonical gauge gravity (CCGG) that is rooted in the De Donder‐Weyl Hamiltonian formulation of relativistic field theories, and the proven methodology of the canonical transformation theory.
David Vasak   +4 more
wiley   +1 more source

Simple spines of homotopy 2‐spheres are unique

open access: yesProceedings of the London Mathematical Society, Volume 128, Issue 2, February 2024.
Abstract A locally flatly embedded 2‐sphere in a compact 4‐manifold X$X$ is called a spine if the inclusion map is a homotopy equivalence. A spine is called simple if the complement of the 2‐sphere has abelian fundamental group. We prove that if two simple spines represent the same generator of H2(X)$H_2(X)$ then they are ambiently isotopic.
Patrick Orson, Mark Powell
wiley   +1 more source

Skew Howe duality and limit shapes of Young diagrams

open access: yesJournal of the London Mathematical Society, Volume 109, Issue 1, January 2024.
Abstract We consider the skew Howe duality for the action of certain dual pairs of Lie groups (G1,G2)$(G_1, G_2)$ on the exterior algebra ⋀(Cn⊗Ck)$\bigwedge (\mathbb {C}^{n} \otimes \mathbb {C}^{k})$ as a probability measure on Young diagrams by the decomposition into the sum of irreducible representations. We prove a combinatorial version of this skew
Anton Nazarov   +2 more
wiley   +1 more source

On Evolutes of Null Cartan Curves in Minkowski 4-Space

open access: yesJournal of New Theory, 2020
This paper aims to discuss the theory of evolutes of null Cartan curves in Minkowski 4-space. In the second part, we present the basic concepts of curves in Minkowski 4-space with its Frenet equations. In the next section, the definition of evolutes of null Cartan curves in Minkowski 4-space is given, and we derive some theorems related to casual ...
openaire   +2 more sources

Polyharmonic hypersurfaces into pseudo-Riemannian space forms. [PDF]

open access: yesAnn Mat Pura Appl, 2023
Branding V   +3 more
europepmc   +1 more source

Nonlinear Radiation Gauge for Near Kerr Spacetimes. [PDF]

open access: yesCommun Math Phys, 2022
Andersson L, Bäckdahl T, Blue P, Ma S.
europepmc   +1 more source

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