Results 61 to 70 of about 19,931 (156)
Noncommutative Geometry and Arithmetic [PDF]
, 2010 This is an overview of recent results aimed at developing a geometry of noncommutative tori with real multiplication, with the purpose of providing a parallel, for real quadratic fields, of the classical theory of elliptic curves with complex ...
Marcolli, Matilde
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Orbifold Kodaira–Spencer maps and closed‐string mirror symmetry for punctured Riemann surfaces
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant 2D TQFT‐type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau–Ginzburg mirror of a
Hansol Hong, Hyeongjun Jin, Sangwook Lee
wiley +1 more source
Twisted conjugacy in soluble arithmetic groups
Mathematische Nachrichten, Volume 298, Issue 3, Page 763-793, March 2025.Abstract Reidemeister numbers of group automorphisms encode the number of twisted conjugacy classes of groups and might yield information about self‐maps of spaces related to the given objects. Here, we address a question posed by Gonçalves and Wong in the mid‐2000s: we construct an infinite series of compact connected solvmanifolds (that are not ...
Paula M. Lins de Araujo +1 more
wiley +1 more source
D-branes and Azumaya noncommutative geometry: From Polchinski to Grothendieck [PDF]
, 2010 We review first Azumaya geometry and D-branes in the realm of algebraic geometry along the line of Polchinski-Grothendieck Ansatz from our earlier work and then use it as background to introduce Azumaya $C^{\infty}$-manifolds with a fundamental module ...
Liu, Chien-Hao, Yau, Shing-Tung
core
On the M2-Brane Index on Noncommutative Crepant Resolutions. [PDF]
Lett Math Phys, 2022 Cirafici M.
europepmc +1 more source
Derived Algebraic Geometry II: Noncommutative Algebra
, 2007 In this paper, we present an infinity-categorical version of the theory of monoidal categories. We show that the infinity category of spectra admits an essentially unique monoidal structure (such that the tensor product preserves colimits in each variable), and thereby recover the classical smash-product operation on spectra.
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Missing the point in noncommutative geometry. [PDF]
Synthese, 2021 Huggett N, Lizzi F, Menon T.
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Braided algebras and their applications to Noncommutative Geometry
Advances in Applied Mathematics, 2013 LaTeX file, 24 ...
Gurevich, Dimitri, Saponov, Pavel
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Curvature-Dimension Conditions for Symmetric Quantum Markov Semigroups. [PDF]
Ann Henri Poincare, 2023 Wirth M, Zhang H.
europepmc +1 more source
Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2023 Vernooij M, Wirth M.
europepmc +1 more source