Transactions of the American Mathematical Society, Vol. 367, No. 5 (MAY 2015), pp. 3481-3508 (28 pages) In this paper we show that the fields of rational invariants over the irreducible components of ...

Entanglement is a resource that is utilized on quantum devices to cary information on quantum bits (qubits), and is what gives a quantum computer its theoretical advantage over its classical ...

Set theory serves as a foundational pillar in mathematics, providing the language and tools necessary to discuss infinite collections. A central focus within this discipline is the study of cardinal ...

Knot theory, a vibrant branch of topology, investigates the properties of knots viewed as embeddings of circles in three-dimensional space. Central to this field are knot invariants—algebraic or ...

Considering the electromagnetic and scalar fields in gravity without Lorenz invariance (LI), a model of holographic superconductor is constructed in Horava-Lishitz gravity. The studies show that the ...

This is a preview. Log in through your library . Abstract Let G × X → X be an action of the connected algebraic group G on the irreducible, affine variety X. We discuss the relationship between [k[X]G ...

Topological phases are at the heart of many advances in photonics and materials science. In a recent eLight paper, researchers introduced the concept of multi-topological phases, a previously unknown ...