Results 71 to 80 of about 525 (181)
A comparison of Hochschild homology in algebraic and smooth settings
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1249-1269, April 2025.Abstract Consider a complex affine variety V∼$\tilde{V}$ and a real analytic Zariski‐dense submanifold V$V$ of V∼$\tilde{V}$. We compare modules over the ring O(V∼)$\mathcal {O} (\tilde{V})$ of regular functions on V∼$\tilde{V}$ with modules over the ring C∞(V)$C^\infty (V)$ of smooth complex valued functions on V$V$.
David Kazhdan, Maarten Solleveld
wiley +1 more source
A general recipe to observe non‐Abelian gauge field in metamaterials
Nanophotonics, Volume 14, Issue 8, Page 1135-1143, April 2025.Abstract Recent research on non‐Abelian phenomena has cast a new perspective on controlling light. In this work, we provide a simple and general approach to induce non‐Abelian gauge field to tremble the light beam trajectory. With in‐plane duality symmetry relaxed, our theoretical analysis finds that non‐Abelian electric field can be synthesized ...
Bingbing Liu, Tao Xu, Zhi Hong Hang
wiley +1 more source
TOPOLOGICAL STATES OF MATTER AND NONCOMMUTATIVE GEOMETRY [PDF]
Bulletin of the Australian Mathematical Society, 2016 This thesis examines topological states of matter from the perspective of noncommutative geometry and KK-theory. Examples of such topological states of matter include the quantum Hall effect and topological insulators. For the quantum Hall effect, we consider a continuous model and show that the Hall conductance can be expressed in terms of the index ...
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A noncommutative version of Farber's topological complexity [PDF]
Topological Methods in Nonlinear Analysis, 2017 9 pages; minor mistakes removed; to appear in Topological Methods in Nonlinear ...
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The Gribov problem in noncommutative gauge theory
, 2018 fter reviewing Gribov ambiguity of non-Abelian gauge theories, a phenomenon relatedto the topology of the bundle of gauge connections, we show that there is a similar feature fornoncommutative QED over Moyal space, despite the structure group being ...
Kurkov M. +3 more
core +1 more source
, 2018 A noncommutative solenoid is a twisted group C*-algebra C*(Z[1/N]2,σ) where Z[1/N] is the group of the N-adic rationals and σ is a multiplier of Z[1/N]2.
Latrémoliére, Frédéric +1 more
core +1 more source
T-duality for torus bundles with H-fluxes via noncommutative topology
, 2004 The original publication is available at www.springerlink.comIt is known that the T-dual of a circle bundle with H-flux (given by a Neveu-Schwarz 3-form) is the T-dual circle bundle with dual H-flux.
Jonathan Rosenberg +3 more
core +1 more source
Submanifolds, Fibre Bundles, and Cofibrations in Noncommutative Differential Geometry [PDF]
This is a thesis in noncommutative differential geometry. Equipping algebras with differential calculi, we propose noncommutative differential equivalents of some concepts from topology: submanifolds and fibre bundles.
JAMES BLAKE
core +1 more source
The Structure of Spacetime and Noncommutative Geometry
, 2009 We give a general and nontechnical review of some aspects of noncommutative geometry as a tool to understand the structure of spacetime. We discuss the motivations for the constructions of a noncommutative geometry, and the passage from commutative to ...
Lizzi, Fedele
core
A TOPOLOGICAL MIRROR SYMMETRY ON NONCOMMUTATIVE COMPLEX TWO-TORI
Journal of the Korean Mathematical Society, 2006 The purpose of this paper is to study an aspect of a topological mirror symmetry on elliptic curves starting from the paper of \textit{A. N. Tyurin} [Izv. Math. 64, No. 2, 363--437 (2000; Zbl 1039.53058)] which compares the moduli spaces of stable bundles and supercycles.
Kim, Eunsang, Kim, Hoil
openaire +3 more sources