Results 21 to 30 of about 42,140 (265)

Twisted Cyclic Cohomology and Modular Fredholm Modules

Symmetry, Integrability and Geometry: Methods and Applications, 2013
Connes and Cuntz showed in [Comm. Math. Phys. 114 (1988), 515-526] that suitable cyclic cocycles can be represented as Chern characters of finitely summable semifinite Fredholm modules. We show an analogous result in twisted cyclic cohomology using Chern
Adam Rennie, Andrzej Sitarz, Makoto Yamashita   +2 more
doaj   +1 more source

Spectral triples on irreversible C∗-dynamical systems [PDF]

International Journal of Mathematics, 2021
Given a spectral triple on a [Formula: see text]-algebra [Formula: see text] together with a unital injective endomorphism [Formula: see text], the problem of defining a suitable crossed product [Formula: see text]-algebra endowed with a spectral triple is addressed. The proposed construction is mainly based on the works of Cuntz and [A.
Aiello, Valeriano, Guido, Daniele, Isola, Tommaso   +2 more
openaire   +4 more sources

Boundaries, spectral triples and $K$-homology [PDF]

Journal of Noncommutative Geometry, 2019
This paper extends the notion of a spectral triple to a relative spectral triple, an unbounded analogue of a relative Fredholm module for an ideal J\triangleleft A .
Iain Forsyth, Magnus Goffeng, Bram Mesland, Adam Rennie   +3 more
openaire   +5 more sources

Lorentz signature and twisted spectral triples

Journal of High Energy Physics, 2018
We show how twisting the spectral triple of the Standard Model of elementary particles naturally yields the Krein space associated with the Lorentzian signature of spacetime. We discuss the associated spectral action, both for fermions and bosons.
A. Devastato, S. Farnsworth, F. Lizzi, P. Martinetti   +3 more
doaj   +1 more source

Pseudo-Riemannian structures in Pati-Salam models

Journal of High Energy Physics, 2020
We discuss the role of the pseudo-Riemannian structure of the finite spectral triple for the family of Pati-Salam models. We argue that its existence is a very restrictive condition that separates leptons from quarks, and restricts the whole family of ...
A. Bochniak, T.E. Williams, P. Zalecki
doaj   +1 more source

Bootstrapping closed hyperbolic surfaces

Journal of High Energy Physics, 2022
The eigenvalues of the Laplace-Beltrami operator and the integrals of products of eigenfunctions and holomorphic s-differentials satisfy certain consistency conditions on closed hyperbolic surfaces.
James Bonifacio
doaj   +1 more source

Numerical Method for Stochastic Nonlinear Schrödinger Equation Driven by Multivariate Gaussian Measure: Algorithms and Applications

Journal of Mathematics, 2023
In this paper, we present a novel Galerkin spectral method for numerically solving the stochastic nonlinear Schrödinger (NLS) equation driven by multivariate Gaussian random variables, including the nonlinear term.
Hongling Xie
doaj   +1 more source

An efficient triple cascade process for synthesis of novel disperse dyes from lawsone: A modification of natural colorant

Results in Chemistry, 2022
This article describes the synthesis of novel dihydropyrimidone derivatives that have been paid attention in organic, medicinal, dyes and many other chemistry disciplines.
Paresh N. Patel, Nilam C. Patel, Dipen H. Desai   +2 more
doaj   +1 more source

Classification of finite spectral triples [PDF]

Journal of Geometry and Physics, 1998
Latex, 29 pages with 2 figures, reference ...
openaire   +3 more sources

Untwisting twisted spectral triples [PDF]

International Journal of Mathematics, 2019
We examine the index data associated to twisted spectral triples and higher order spectral triples. In particular, we show that a Lipschitz regular twisted spectral triple can always be “logarithmically dampened” through functional calculus, to obtain an ordinary (i.e. untwisted) spectral triple.
Goffeng, M., Mesland, B., Rennie, A.
openaire   +5 more sources