Results 31 to 40 of about 6,562 (88)

K‐theory Soergel bimodules

open access: yesBulletin of the London Mathematical Society, Volume 56, Issue 3, Page 1169-1191, March 2024.
Abstract We initiate the study of K$K$‐theory Soergel bimodules, a global and K$K$‐theoretic version of Soergel bimodules. We show that morphisms of K$K$‐theory Soergel bimodules can be described geometrically in terms of equivariant K$K$‐theoretic correspondences between Bott–Samelson varieties.
Jens Niklas Eberhardt
wiley   +1 more source

Minimal surfaces with symmetries

open access: yesProceedings of the London Mathematical Society, Volume 128, Issue 3, March 2024.
Abstract Let G$G$ be a finite group acting on a connected open Riemann surface X$X$ by holomorphic automorphisms and acting on a Euclidean space Rn$\mathbb {R}^n$ (n⩾3)$(n\geqslant 3)$ by orthogonal transformations. We identify a necessary and sufficient condition for the existence of a G$G$‐equivariant conformal minimal immersion F:X→Rn$F:X\rightarrow
Franc Forstnerič
wiley   +1 more source

Secure cloud computations: Description of (fully)homomorphic ciphers within the P-adic model of encryption [PDF]

open access: yesarXiv, 2016
In this paper we consider the description of homomorphic and fully homomorphic ciphers in the $p$-adic model of encryption. This model describes a wide class of ciphers, but certainly not all. Homomorphic and fully homomorphic ciphers are used to ensure the credibility of remote computing, including cloud technology. The model describes all homomorphic
arxiv  

Logarithmic cotangent bundles, Chern‐Mather classes, and the Huh‐Sturmfels involution conjecture

open access: yesCommunications on Pure and Applied Mathematics, Volume 77, Issue 2, Page 1486-1508, February 2024.
Abstract Using compactifications in the logarithmic cotangent bundle, we obtain a formula for the Chern classes of the pushforward of Lagrangian cycles under an open embedding with normal crossing complement. This generalizes earlier results of Aluffi and Wu‐Zhou.
Laurenţiu G. Maxim   +3 more
wiley   +1 more source

Exact Algorithm for Graph Homomorphism and Locally Injective Graph Homomorphism [PDF]

open access: yesarXiv, 2013
For graphs $G$ and $H$, a homomorphism from $G$ to $H$ is a function $\varphi \colon V(G) \to V(H)$, which maps vertices adjacent in $G$ to adjacent vertices of $H$. A homomorphism is locally injective if no two vertices with a common neighbor are mapped to a single vertex in $H$.
arxiv  

Maximal disjoint Schubert cycles in rational homogeneous varieties

open access: yesMathematische Nachrichten, Volume 297, Issue 1, Page 174-194, January 2024.
Abstract In this paper, we study properties of the Chow ring of rational homogeneous varieties of classical type, more concretely, effective zero divisors of low codimension, and a related invariant called effective good divisibility. This information is then used to study the question of (non)existence of nonconstant maps among these varieties ...
Roberto Muñoz   +2 more
wiley   +1 more source

The uniqueness theorem for Gysin coherent characteristic classes of singular spaces

open access: yesJournal of the London Mathematical Society, Volume 109, Issue 1, January 2024.
Abstract We establish a general computational scheme designed for a systematic computation of characteristic classes of singular complex algebraic varieties that satisfy a Gysin axiom in a transverse setup. This scheme is explicitly geometric and of a recursive nature terminating on genera of explicit characteristic subvarieties that we construct.
Markus Banagl, Dominik J. Wrazidlo
wiley   +1 more source

Homomorphisms of connectome graphs [PDF]

open access: yesarXiv, 2014
We propose to study homomorphisms of connectome graphs. Homomorphisms can be studied as sequences of elementary homomorphisms - folds, which identify pairs of vertices. Several fold types are defined. Initial computation results for some connectome graphs are described.
arxiv  

Homomorphisms and Structural Properties of Relational Systems [PDF]

open access: yesarXiv, 2007
Two main topics are considered: The characterisation of finite homomorphism dualities for relational structures, and the splitting property of maximal antichains in the homomorphism order.
arxiv  

Semigroup homomorphisms on matrix algebras [PDF]

open access: yesarXiv, 2017
We explore the connection between ring homomorphisms and semigroup homomorphisms on matrix algebras over rings or $C^*$-algebras.
arxiv  

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